Question 1

Which of the following describes the solution to the system of equations given by

2x + 3y = 12

and

4x + 6y = 24

?

Accepted Answer

There are infinitely many solutions.

Answer

The solution is

2x + 3y = 12

.

Answer

The solution is

2x + 3y = 12

.

Answer

There is no solution.

Question 2

Given the system of equations

2x + 3y = 12

and

4x + 6y = 24

, what is the value of

x

?

Accepted Answer

4

Answer

2

Answer

7

Answer

5

Question 3

Two numbers have a sum of

2x + 3y = 12

and a difference of

4x + 6y = 24

. What are the two numbers?

Accepted Answer

Answer

Answer

Answer

Question 4

What is the value of

2x + 3y = 12

in the system of equations

4x + 6y = 24

and

x

?

Accepted Answer

5

Answer

4

Answer

2

Answer

3

Question 5

Solve the system of equations for

2x + 3y = 12

:

4x + 6y = 24

and

x

.

Accepted Answer

-2

Answer

0

Answer

-4

Answer

4

Question 6

For which value of

2x + 3y = 12

will the system of equations

4x + 6y = 24

and

x

have no solution?

Accepted Answer

8

Answer

4

Answer

2

Answer

12

Question 7

If the system of equations

2x + 3y = 12

and

4x + 6y = 24

is solved, what is the value of the product

x

?

Accepted Answer

2

Answer

3

Answer

5

Answer

1

Question 8

Which coordinate pair

2x + 3y = 12

represents the point of intersection for the lines defined by

4x + 6y = 24

and

x

?

Accepted Answer

(5, 2)

Answer

(3, 4)

Answer

(6, 1)

Answer

(4, 3)

Question 9

Two lines are represented by the equations

2x + 3y = 12

and

4x + 6y = 24

. At what point do these two lines intersect?

Accepted Answer

(5, 11)

Answer

(2, 5)

Answer

(5, 9)

Answer

(3, 7)

Question 10

If

2x + 3y = 12

and

4x + 6y = 24

, and the solution to the system is

x

, what are the values of

a

and

b

?

Accepted Answer

a = 2, b = 3

Answer

a = 3, b = 2

Answer

a = 1, b = 4

Answer

a = 5, b = 1

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