2x-3y=13 y=1/2x-7/2 as a substitution problem

Answers

Answer 1
y = 1/2x - 7/2
so replace y with 1/2x - 7/2 in ur other equation

2x - 3y = 13
2x - 3(1/2x - 7/2) = 13....distribute through the parenthesis
2x - 3/2x + 21/2 = 13 ...multiply entire equation by 2 to get rid of fractions
4x - 3x + 21 = 26
4x - 3x = 26 - 21...combine like terms
x = 5

2x - 3y = 13
2(5) - 3y = 13
10 - 3y = 13
-3y = 13 - 10
-3y = 3
y = -3/3
y = -1

solution is (5,-1)

Related Questions

In circle P, diameter QS measures 20 centimeters.



What is the approximate length of arc QR? Round to the nearest tenth of a centimeter.

9.9 centimeters
19.9 centimeters
21.5 centimeters
43.0 centimeters

Answers

It's 19.9 Centimeters

Answer:

the answer is 19.9 cm

Which statement defines the term capacity?

Answers

a borrower's ability to repay a loan 

The correct answer is:

Credit grantors' measurement of a person's ability to repay loans.

Explanation:

When lending money, financial institutions look at a variety of factors.  One of the most important is the ability of the person taking out the loan to repay it.  Financial institutions refer to this as "capacity."

please explain how you got the answer

Answers

Answer:

part a.

2/3 = x/6

3x = 12

x = 4

that is the answer

What is the distance between these two points on a number line?

–93 and 114

A.–207
B.–21
C.21
D.207

Answers

The answer is D.207


The distance cannot be a negative number, so options C or D can be correct. However, choice C cannot be correct since the first point is negative.


The distance is:
114 - (-93) = 114 + 93 = 207

What is the solution set for the open sentence with the given replacement set?

x^2 + 12 = 8x, {2,4,5,8}

A. 2
B. 4
C. 5
D. 8

Answers

 When 2 is raised to the second power the product is 4. 4 plus 12 equals 16. When is 8 multiplied by 2 the product will also be 16, making both sides equal. X = 2

The ratio of the number of cars to the number of motorcycles in a parking lot is 10:3. The ratio of the number of motorcycles to the number of vans is 2:5. There are 30 cans in the parking lot. How many more cars than vans are there?

Answers

I thought it was motorcycles I don't get it

List the multiples of 3 that are also multiples of 5.

Answers

15,30,45,60,75,90 and most must mutiple of 15 i think

A school crossing sign has the dimensions shown. The sign can be thought of as a composite figure of a rectangle and a triangle, or two identical trapezoids. The area of the sign is ____ in2. (Enter only the number.) ...?

Answers

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

Below is the answer:

Area of rectangle = 30*15 = 450
Area of triangle = 30*15/2 = 225

Add the Area of rectangle and the Area of triangle you will get 675

4 x 3/5 as a mixed number

Answers

The mixed number is = 2 2/5.

Find the midpoint of each side of the trapezoid. Connect the midpoints. What is the most precise classification of the quadrilateral formed by connecting the midpoints of the sides of the trapezoid?
(photo)

Answers

The midpoints of the sides of the trapezoid are:
M  ( - 1 , 1 ), N ( 1, - 1 ), P ( 3, 1 ), Q ( 1, 3 ).
MN = NP = PQ = QM = √ ( 2² + 2² ) = √ 8 = 2√2
∠MNP = ∠NPQ = ∠PQM = ∠QMN = 90°
Answer:
The quadrilateral formed by joining the midpoints of the sides of the trapezoid is a square

The given amount converted to units?
120 s; minutes
a. 3.25min b. 1.75min c. 2min d. 1.3min

Please respond with a explanation thank you.

Answers

120 seconds is 2 * 60s
60s is 1 minute, so 2*60s = 2 minutes

a survey of reading habits of 100 students showed that 30 read both comics and novels. 10 read neither comics nor novels and twice as many students read comics as read novels. 1. illustrate the information on a Venn diagram. 2. how many students read only novels. 3. how many students read comics. 4. how many students read only one type of book.

Answers

1. Attachment
2. We can use an equation for this
       100 students - both - nether = 60
         lets make x = novels, so comics is 2*x
60 = 2x + x
60 = 3x
x = 20      so 20 people read novels meaning:

3. That 40 people read comics (this can also be done by making x = comics and novels = x/2)

4. This just asks for total of comics only and novels only. We can add up our two previous values or be smart and know that we already calculated that sum as 60 [look back ;) ]

How much money will Rachel have in her account in ten years

Answers

200(1+0.06/2)^2*10==361.22

Write two million three hundred and twenty thousand five hundred and two as a number.

Answers

2,320,502. That would be the answer.

Step-by-step explanation:

i was trying to figure out if I can always handle your math exams would it be possible

Solve 5x2 = −30x − 65

Answers

I hope this helps you




5x^2+30x+65=0




5 (x^2+6x+13)=0



x^2+6x+13=0



a=1 b=6 c=13



disctirminant=b^-4ac



disctirminant=6^2-4.1.13



disctirminant=36-52



disctirminant= -16


x1= -6+square root of -16/2.1



x1= -6+4i/2=2i-3



x2= -6- square root of -16/2.1



x2= -6-4i/2= -3-2i
Final answer:

To solve 5[tex]x^2[/tex] = -30x - 65, we can use the quadratic formula. However, the equation has no real solutions.

Explanation:

To solve 5[tex]x^2[/tex] = -30x - 65, we can start by rearranging the equation to form a quadratic equation in standard form. The equation becomes 5[tex]x^2[/tex]+ 30x + 65 = 0. We can then solve this quadratic equation by factoring, completing the square, or using the quadratic formula.

In this case, the quadratic equation does not factor easily, so we can use the quadratic formula. The quadratic formula is x = (-b ± sqrt([tex]b^2[/tex] - 4ac)) / (2a), where a, b, and c are the coefficients of the quadratic equation. Plugging in the values, we get x = (-30 ± sqrt([tex](-30)^2[/tex] - 4(5)(65))) / (2(5)). After simplifying, we get x = (-30 ± sqrt(900 - 1300)) / 10.

Since the expression inside the square root is negative, there are no real solutions to the equation. Therefore, the equation 5[tex]x^2[/tex] = -30x - 65 has no solution.

Learn more about Quadratic Equations here:

https://brainly.com/question/30098550

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What to the second power equals 9/16?

Answers

3/4

(3/4)^2 = (3^2)/(4^2) = 9/16
Final answer:

The number that, when squared, equals 9/16 is 3/4 as the square root of a fraction is the square root of the numerator divided by the square root of the denominator.

Explanation:

The question is asking what number raised to the second power (or squared) equals 9/16. In mathematical terms, it's asking for a number n whereby n² = 9/16. Since squaring a number means multiplying it by itself, we can say that n = √(9/16).

The square root of 9/16 can be found by taking the square root of 9 and the square root of 16 separately. This is possible because the square root of a fraction is equal to the square root of the numerator divided by the square root of the denominator (√a/b = √a / √b).

So, the square root of 9 is 3 and the square root of 16 is 4. Therefore, √(9/16) = 3/4. Hence, the number that when squared gives 9/16 is 3/4.

Learn more about Square root here:

https://brainly.com/question/3120622

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Wriye the mixed number as a fraction 4 1/3

Answers

A mixed number is a fraction but if you want it as a improper fraction, multiply the denominator by the unit so, 
4*3=12 
add 1 (from the numerator) 
12+1=13  

Your fraction would be 13/3 because the denominator stays the same.  

Whats 913 divide by 29 show your work

Answers

913 decided by 29 is 31.4827

The division of 913 by 29 yields a quotient of 31 with a remainder of 14, which can be written as 31 R14 or as a decimal, 31.4827586207.

Calculating 913 Divided by 29:

To calculate 913 divided by 29, you perform long division. Firstly, you determine how many times 29 can fit into the initial digits of 913. Seeing that 29 goes into 91 three times (since 29 x 3 = 87), you write down the 3 above the last digit of 91, subtract 87 from 91, and bring down the next digit of 913, which is 3, next to the 4 remaining from the subtraction, forming 43. Now, you determine how many times 29 can fit into 43 without exceeding it. The answer is once. So you write 1 above the 3 in 913, multiply 29 by 1 to get 29, and subtract this from 43 to get 14. Since there are no more digits in 913 to bring down, you have finished the division process.

The result of the division is 31 with a remainder of 14, which can also be written as 31 R14 or as 31.4827586207 when expressed as a decimal.

A good way to check your math is to multiply the quotient by the divisor and add the remainder. If the result equals the original dividend, your division is correct. In this case, 31 x 29 + 14 equals 913, confirming the division is accurate.

Is 35 prime or a composite

Answers

 35 is  a composite number. 

Answer: Composite

Step-by-step explanation: To see if 35 is a prime number or a composite number, let's first start by finding the factors of 35.

To find the factors of 35, begin by dividing 35 by 1 which gives us 35. This means that 1 and 35 are factors.

Next, since 35 is not divisible by 2, 3, or 4, we divided 35 by 5 which gives us 7. This means that 5 and 7 are factors.

Next, since 35 is not divisible by 6, we divide 35 by 7 which gives us 5. Notice that 7 and 5 are repeat factors and once we hit repeat factors, this means that all other factors we try will repeat.

Therefore, the factors of 35 are 1, 5, 7, and 35.

Since 35 has more than two factors, it's called a composite number.

If g(x) = 2 − 1, what is g(−2.3)?

Answers

Final answer:

Assuming the function g(x) is 2x - 1, to find g(-2.3) we substitute -2.3 for x, calculate the expression, and obtain

g(-2.3) = -5.6.

Explanation:

The student has provided an incomplete function g(x), as it shows g(x) = 2 - 1 without any variable after the subtraction sign. Assuming this is a typographical error and the student meant g(x) = 2x - 1, we can proceed to evaluate the function for x = -2.3.

To evaluate g(-2.3), we substitute -2.3 into the function:

g(x) = 2x - 1g(-2.3) = 2(-2.3) - 1g(-2.3) = -4.6 - 1g(-2.3) = -5.6

Therefore, the value of g(-2.3) is -5.6.

A student attempts to solve for c in the equation below.

Which statement best applies to the work shown below?

A.
The student followed all rules correctly and solved for c.
B.
In step 2 of the student’s work they made a mathematical error.
C.
The student’s answer is negative but it should be positive.
D.
The student combined like terms incorrectly in step 1.

Answers

Answer:

A. The student followed all rules correctly and solved for c

Step-by-step explanation:

Given the equation [tex]3c + 6 - 4c = 12 c + 7[/tex], the student followed all rules correctly because:

step 1: He combined like terms correctly for c in the left side from the equation

[tex]3c - 4c = - c[/tex]

step 2: he subtracted 6 from both sides

[tex]-c +6 + (-6) = 12c +7+(-6)[/tex]

step 3: To isolate “c”, he substracted 12c from both sides

[tex]-c +(-12c) = 12c +(-12c) +1[/tex]

Step 4: finally he divided both sides by [tex]-13[/tex]

[tex]-\frac{13c}{13}= -\frac{1}{13}[/tex]

And he got it:  

[tex]c = -\frac{1}{13}[/tex]

Now we´ll check this work with the original equation:

[tex]3c + 6 - 4c = 12 c + 7[/tex]

[tex]3(-\frac{1}{13}) + 6 - 4(-\frac{1}{13}) = 12(-\frac{1}{13}) + 7[/tex]

[tex]-\frac{3}{13} + 6 +\frac{4}{13} = -\frac{12}{13} +7[/tex]

[tex]6 + \frac{1}{13} = \frac{79}{13}[/tex]

[tex]\frac{79}{13} = \frac{79}{13}[/tex]

Very good  √

Katrina's bank statement shows a closing balance of $172.62. There are no outstanding checks or deposits. Her checkbook shows a balance of $190.62. What might account for the different balances?

Answers

Transposing of numbers

Answer:

trasposing of numbers

Step-by-step explanation:

what is the solution for the equation for X -10 equals 2X? X equals blank

Answers

x - 10 = 2x
- x
-10 = x
Hope this helps!

A lady wants to make an open-top box for packing baked goods by cutting equal squares from each corner of an 11in. by 16 in. piece of cardboard as shown in the diagram. she figures that versatility the area of the bottom must be 80in^2. What size of square Should be cut from each corner? (round three decimal places)

Answers

Final answer:

The size of the square to be cut from each corner of the cardboard to create a box with a desired area of 80in^2 is approximately 1.553 inches.

Explanation:

The size of the square should be cut from each corner of an 11in. by 16 in. piece of cardboard to create a box with a desired area of 80in2 is approximately 1.553 inches.

To calculate this, we start by finding the area of the original cardboard piece, which is 11*16=176in2. Then, we subtract the area of the four squares cut out, 4x2, from the original area to get the area of the box's base, which is 176 - 4x2=80. Solving for x gives us the size of the square to be cut out.

which percent represents the fraction 4/5

Answers

4/5 would be 80%.  you can divide 100 by 5 which is 20. so 1/5 is 20/100 so then 4/5 is 80/100 ANSWER: 4/5=80%

Danielle runs an afterschool program for children. the local baseball team donated 220 game tickets to the program. if danielle divides the tickets evenly among the 4 units in the program, how many tickets will each unit get?

Answers

4 each of them will get 55

Answer: 55 tickets

Step-by-step explanation:

Given : The local baseball team donated 220 game tickets to the program.

Also, Danielle divides the tickets evenly among the 4 units in the program.

Then, the number of  tickets will each unit get =[tex]220\div 4[/tex]

i.e. the  number of tickets will each unit get =55

Hence, Each units will get 55 tickets.

The name of the compound kf is.....
a. sodium chloride
b. potassium fluoride

Answers

B. Potassium Fluoride

A social service agency finds that, on the average, 2.86 of every 100 families need help from the agency. About how many families can they expect to help in a town of 976 families?

Answers

They can expect to help around 28 Families. 

Quadrilateral ABCD has 2 pairs of parallel sides, and perpendicular diagonals. What is the MOST SPECIFIC name for the quadrilateral?
A)
parallelogram
B)
rectangle
C)
rhombus
D)
square ...?

Answers

Answer:

C - Rhombus

Step-by-step explanation:

A rhombus ALWAYS has perpendicular diagonals. A rhombus is just a parallelogram with four equal sides, so two of them have to be parallel, at least.

Answer:

it's a parallelogram


The equation h = -16t^2 + 32t + 9 gives the height of a ball, h, in feet above the ground, at t seconds after the ball is thrown upward. How many seconds after the ball is thrown will it reach its maximum height? What is its maximum height?

Answers

It would take 1 second to reach its maximum height, which would be 25 feet.

h=−16(1^2)+(32)(1)+9 If you substituted t as 1, you would find that after simplification, h would be 25.

You would find out that as you increased t, h would get smaller.
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