Solve the following system of equations by graphing. If the system is inconsistent or the equations are dependent say so.
7x-4y=3
21x-12y=9

Answers

Answer 1
-21x+12y=9
21x-12y=9

x=1
y=1

Related Questions

Number c is really difficult

Answers

Multiply each term in the equation by 4/1.
9-2y+2y+4=24

Combine like terms
13=24

Because the result is false, it is no solution.

can -60 be a fraction?

Answers

yes [tex] -\frac{60}{1} [/tex]
Yes, any real number can be made into a fraction! 
-60 in this case can be made into a fraction by simply putting it over 1. So -60/1 would be it as a fraction.

What is the mode of the following data set

Answers

Hello There!

Mode: Number that occurs most often in a set of numbers

-The mode would be 3-

The number 3 is the only number that occurs 5 times in the set of data. No other numbers appear more than that so our mode is 3.

Diane and Nancy split a bill of 58.40 plus a 15% tip how much did each person pay

Answers

33.58 dollars each for Diana and Nancy
Work: 58.40 and a 15% tip
58.40×.15= 8.76
58.40+8.76= 67.16
67.16/2= 33.58
Answer:$33.58

Which lists these numbers in order from least to greatest?

–14.6, 159, 1.07, –1.295, 24.6

A.
1.07, –14.6, 159, 24.6, –1.295

B.
1.07, –1.295, –14.6, 24.6, 159

C.
–1.295, –14.6, 1.07, 24.6, 159

D.
–14.6, –1.295, 1.07, 24.6, 159

Answers

The answer is D because -14.6 is the least and is the only one that has -14.6 first.

The correct answer is option D –14.6, –1.295, 1.07, 24.6, 159.

Given numbers: –14.6, 159, 1.07, –1.295, 24.6.

To order the numbers from least to greatest, we consider their values:

–14.6 (negative and smallest)–1.295 (negative and larger than –14.6)1.07 (positive and the smallest positive number in this list)24.6 (positive and larger than 1.07)159 (positive and largest)

so,Order from least to greatest is:

–14.6–1.2951.0724.6159

The correct answer is option D –14.6, –1.295, 1.07, 24.6, 159.

Two integers, a and b, have a product of 24. What is the least possible sum of a and b?

Answers

The two integers are 6 and 4 because the factors of 24 are 1,2,3,4,6,8,12,24 and 4 and 6 have the smallest sum out of all of them.
1+24=25
2+12=14
3+8=11
4+6=10

Which value of c would make the following expression completely factored?

8x + cy

a. 2
b. 7
c. 12
d. 16

Answers

b). 7 is the correct answer

For c = 7, the expression 8x + cy is completely factored.

The correct answer is an option (b)

What is an expression?

"It is a mathematical statement with a minimum two numbers or variables and at least one mathematical operation. "

For given example,

We have been given an expression 8x + cy

We need to find the value of c that would make the given expression completely factored.

For c = 2,

⇒ 8x + cy

= 8x + 2y

= 2(4x + y)                         ..............(Factor out common term)

This means c = 2 is not the required value.

For c = 12,

⇒ 8x + cy

= 8x + 12y

= 4(2x + 3y)                         ..............(Factor out common term)

This means c = 12 is not the required value.

For c = 16,

⇒ 8x + cy

= 8x + 16y

= 8(x + 2y)                         ..............(Factor out common term)

This means c = 16 is not the required value.

For c = 7,

⇒ 8x + cy

= 8x + 7y, which is completely factored

This means c = 7 is the required value of c.

Therefore, for c = 7, the expression 8x + cy is completely factored.

The correct answer is an option (b)

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A segment measures 10 units. One end of the segment has an endpoint at three, -6. What is another possible in point to this segment

Answers

if one end is -6 and the measure is 10 units long, there are 2 other possible ends. -16 or 6.
assumingn ya mean the oint (3,-6)

add or subtract 10 from x or y to get points 10 away

3-10=-7 so a point is (-7,-6)
3+10=13 so a point is (13,-6)
-6-10=-16 so a point is (3,-16)
-6+10=4 so a point is (3,4)

those are 4 out of inifnite points that we can get that are 10 units from (3,-6)
the points are (x,y) such that they satisfy the following equation:
[tex](x-3)^2+(y+6)^2=10^2[/tex]

how much more is 3/8 gallon than 1/4 gallon?

Answers

1/8 more

1/4 = 2/8

3/8-2/8 =1/8

Tom has a can of paint that covers 37 1/2 square meters. Each board on the fence has an area of 3/16 square meters. How many boards can he paint?

Answers

you are going to want to divide the numbers which you can do by converting them both into fraction then inverse (flip upside down) the second number if you would like more help then that just ask 

Which statements include two quantities in the real world that are additive inverses?

Select each correct answer.

Juana drove 25 miles east and then drove 25 miles west.

An elevator goes up 10 stories and then goes down 10 stories.

A chlorine ion has 17 positively charged protons and 18 negatively charged electrons.

Daniela opens a bank account and then deposits $200.

Answers

It would be the answer with Juana. Additive integers are adding a postive and negative number to add to zero ex) -5+5=0. So in this situation you can think of west and east as positive and negative.

A & B for sure! Hope this helps!!

Julia is a measuring a table for her room. The area of the tables 46 7/8 square feet. The length of the table is 7 1/2 feet. Julia does not want to purchase a table that is greater than 6 feet wide. Should she purchase the table? why or why not

Answers

In this question, you have given the table length (7. 1/2 feet) and the table maximal area (46 7/8 square feet).  The question is about whether Julia buys a table greater than 6ft wide, in other words, we need to determine the table maximum width. The equation from this problem can be written as:
Table max area = 46 7/8 ft
Table length= 7 1/2 ft

Using area formula, the calculation for maximal width would be:
length * max width = max area
7 1/2 ft * max width = 46 7/8 ft
max width = 46.875/ 7.5 = 6.25ft

The answer to this question would be yes, she can buy a table with more than 6 ft width. But it should not more than 6.25ft width

workout 3(-a + 2a - 4)= -5

Answers

Let's solve your equation step-by-step.3(−a+2a−4)=−5Step 1: Simplify both sides of the equation.3(−a+2a−4)=−5(3)(−a)+(3)(2a)+(3)(−4)=−5(Distribute)−3a+6a+−12=−5(−3a+6a)+(−12)=−5(Combine Like Terms)3a+−12=−53a−12=−5Step 2: Add 12 to both sides.3a−12+12=−5+123a=7Step 3: Divide both sides by 3.3a/3=7/3a=7/3Answer:a=7/3
3(-a+2a-4)=-5
3(-a)+3(2a)-3(4)=-5
-3a+6a-12=-5
             +12 +12
-3a+6a= 3a
3a=7
---  ---
3     3
a=2.3

Find the H.C.F of the following expression 39x^7y^3z and 91 x^5y^6z^z7

Answers

HCF of 39 and 91  is 13

od x^7 and x^5  its x^5
of y^3 and y^6  its y^3
and of z and z^7  its z

So the HCF is 13x^5y^3z  Answer.

13x⁵y³z is the HCF of two given expressions.

What is the highest common factor?

The HCF (Highest Common Factor) of two or more numbers is the greatest number among all the common factors of the given numbers. The HCF or GCF of two natural numbers x and y is the largest possible number that divides both x and y without leaving any remainder.

The given expressions are 39x⁷y³z and 91x⁵y⁶z⁷.

Here, the numbers 39 and 91 divisible by 13.

The factor x⁵y³z can divide both the expressions

So, HCF of two given expressions is 13x⁵y³z

Therefore, the HCF is 13x⁵y³z.

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(-4x^2+3xy-y^2)/-(-7x^2-xy+6y^2)/(x^2+4xy-2y^2)

Answers

Alright, so we can start off by dividing 
-4x^2+3xy-y^2 by -(-7x^2-xy+6y^2)=7x^2+xy-6y^2 using long division, getting 
     
                                   -4/7
                                    _____________________
7x^2+xy-6y^2              -4x^2+3xy-y^2
                                  - (-4x^2-4xy/7-24y^2/7)
                                    __________________
                                              25xy/7+31y^2/7

Since we can't do anything at this point, we do 
-4/7+(25xy/7+31y^2/7)/(7x^2+xy-6y^2)

At this point, we can divide this by 
(x^2+4xy-2y^2), resulting in
 (-4/7+((25xy/7+31y^2/7)/(7x^2+xy-6y^2)))/((x^2+4xy-2y^2)). After that, we can't use long division since the numerator's top x exponent is 1.

Answer:

7x+x^-16x+

Step-by-step explanation:

After a 5% sale discount, the price of an item became $38.00. What was the original price?

Answers

0.95x = 38
x = 38/.95
x = 40

Hope this helped!

The answer will be 40 !!

Add or subtract.write each sum or difference in simplest form.

11. 3/8 + 5/24

12. 1/20 + 5/12

13. 9/20 - 1/4

14. 9/10 - 3/14

15. 3 3/8 + 5/12

16. 5 7/10 - 5/18

Answers

#11 3/8+5/24=14/24= 7/12

#12 9/20-1/4=9/20-5/20=4/20=

How many pieces of cake have you and your 3 friends eaten out of1/2 of an eaten cake?

Answers

There is about 8 pieces of a whole cake. So if half of the cake is eaten that means that there is 4 pieces of cake left. There are 4 people that will eat the cake. So the entire cake will be gone
they each get 2 slices

Is 500 an underestimate or overestimate for the product of 12 and 53

Answers

Underestimate is the answer

The number 500 is underestimate for the product of 12 and 53.

We need check whether 500 an underestimate or overestimate for the product of 12 and 53.

What is product of numbers?

The product of two numbers is the result you get when you multiply them together.

Now, the product of 12 and 53 is 12 × 53 = 636

An underestimate is an estimate that is less than the actual answer to a problem.

So, the number is underestimated.

Therefore, the number 500 is underestimate for the product of 12 and 53.

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what is 11.4 divided by 19

Answers

The answer would be 0.6
the answer should be 0.6 

What's a name for 7 over 8

Answers

7/8  is called seven-eights (as a fraction)


hope this helps
As said above, 7/8 or seven-eighths is the name of 7 over 8.

Which is a correct classification for the triangle?

Answers

Well we know the missing angle is 1oo degrees because 53+27 gives you 80 so you subtract the from 180 and get 100 so taking that into consideration and the shape of the triangle its self you can determine that this is an....obtuse angle !

Is 16.6 a whole number, lnteger number, or a rational number

Answers

16.6 is a rational number because a whole number is a number without a decimal. An integer is a set of whole numbers (including zero) and negative numbers. A rational number basically is a number with a decimal or a fraction. 

16.6 is a rational number

A rational number is a number that can be expressed as a ratio or a fraction of two integers

Examples of rational numbers are [tex]\frac{3}{7}[/tex], [tex]\frac{1}{2}[/tex]

16.6 can be expressed as [tex]16\frac{6}{10}[/tex] 0r [tex]16\frac{3}{5}[/tex]

An integer is a number without fractions or decimals

For example, integers are 2, 3, 0 - 1000

A whole number is a number that is a positive integer. It does not include negative numbers, fractions or decimals.

Examples are 1, 2, 10

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What is the surface area of 3x3x1?

Answers

Final answer:

The surface area of a 3x3x1 rectangular prism is calculated using the formula Surface Area (SA) = 2(lw + lh + wh), resulting in a total surface area of 30 cm².

Explanation:

The surface area of a rectangular prism with dimensions 3x3x1 can be calculated using the formula for surface area of a cube, which is slightly modified for a rectangular prism. The formula is Surface Area (SA) = 2(lw + lh + wh), where 'l' is the length, 'w' is the width, and 'h' is the height of the prism. In this case, the length (l), width (w), and height (h) are 3 cm, 3 cm, and 1 cm respectively.

To calculate the SA:

Multiply the length and width: 3 cm × 3 cm = 9 cm².Multiply the length and height: 3 cm × 1 cm = 3 cm².Multiply the width and height: 3 cm × 1 cm = 3 cm².Sum these areas and multiply by 2: (9 cm² + 3 cm² + 3 cm²) × 2 = 30 cm².

The surface area of the 3x3x1 rectangular prism is thus 30 cm².

Final answer:

The surface area of a 3x3x1 cube is 54 square units.

Explanation:

To find the surface area of a 3x3x1 cube, we need to calculate the total area of all its faces.

Since the cube has six faces that are all identical squares, we can find the surface area by multiplying the length of one side of the square by itself, and then multiplying that result by 6.

Surface Area = 6 x (3 x 3)

= 6 x 9

= 54

Therefore, the surface area of a 3x3x1 cube is 54 square units.

Sasha hikes into a canyon. She takes a break at the rest stations every 2/3 of a mile. If she started at sea level and has hiked down to the fourth rest station, what is Sasha’s elevation now? Select all that apply.

a. -8/3
b. -4 2/3
c. 14/3
d. 2 2/3
e 4/3

Answers

Answer:

a. -8/3 miles below sea level.

Step-by-step explanation:

Sasha started at sea level and has hiked down to the fourth rest station.

Now sea level is 0.

Sasha takes a break at the rest stations every 2/3 of a mile.

This means she is down to 4 rest points means 4 times 2/3

This becomes = [tex]4\times(\frac{2}{3} )=\frac{8}{3}[/tex]

But the answer will be in negative as she is below 0.

So, correct answer is: a. -8/3 miles below sea level.

Shasha's elevation at the fourth rest station is 2 2/3

Position of rest station = 2/3 of a mile

Sea level = 0

The 4th rest station will be located at :

4 × 2/3 = 8/3

Therefore, the position of the fourth rest station from Shasha's starting position is (0 + 8/3) = 8/3

Since, she's hiking upward her position will be 8/3 = 2 2/3

Therefore, Shasha's elevation is

[tex]2 \frac{2}{3} [/tex]

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An architect is designing a house in which a 104-square-foot room and a 130-square-foot room share a wall. What is the greatest possible integer length of the shared wall?

Answers

I think the answer should be 130 - 104 = 26

Dylan is using the Distributive Property to simplify 6 x (9 + 4). Find his mistake and correct it.

Answers

6(9+4)
54+24
78

78 is your final answer.

What is 12-(3-1/2)? I NEED ASAP!! THANK YOU

Answers

I believe the answer is 9.5

9.5 because when you subtract 3-1/2 you get 2 1/2 and then you multiply by 12 and get 36 1/2

149 x 5 multiply using partial products

Answers

Hi there! Partial products is multiplying each bottom number by the top number. So what did was 9 * 5 = 45. Dropped the five, and carried the 4 to the next number. 5 * 4 + 4 is 24. Drop the 4, and carried the two to the next number. Then I did 5 * 1 + 2 and I got 7. The product of 149 * 5 is 745.

Help!! what is -2r-1= -11

Answers

-2r - 1 = -11

So here you want to group all like terms onto either side.

So you can first do this by getting rid of the -1 by adding 1 instead.

-2r -1 + 1 = -11 + 1

-2r = -10

And then now you can just divide both sides by -2.

-2r = -10

/-2    /-2

r = 5
-2r-1= -11
+1       +1
-2r= -10
r=5
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