Question

A system of two equations is shown below. What will you need to multiply the

top equation by in order to solve this system using the elimination method?
A. 2
B. -3
C. 5
D. -2
.
2x+y = 11
5x + 3y = 29

Answer 1

B) -3

Solution to system is (4,3)

Explanation:

If the top equation gets multiplied by -3, then the two equations can be added together to eliminate the y-variable, so 2x + y = 11 --> -6x - 3y = -33:

-6x - 3y = -33

5x + 3y = 29

__________

-x = -4

x = 4

Therefore:

-6x - 3y = -33

-6(4) - 3y = -33

-24 - 3y = -33

-3y = -9

y = 3

Answer 2

B. -3

Explanation:

This would make the top equation's y value -3, and since the bottom equation's y value is 3 you could eliminate y altogether.