Question

To solve this system of equations by elimination, what operation could be used to eliminate the y-variable and find the value of x? 6x + 5y = 2 4x + 2y = 8

Answer 1

Subtract 5 times the first equation from 2 times the second equation

Explanation:

2(6x + 5y = 2)

5(4x + 2y = 8)

12x + 10y = 4

20x + 10y = 40

Subtracting the second equation from first gives:

−8x = −36

x =

−36

−8

x =

9

2

Answer 2

Multiply each equation by the coefficient of y in the other one.

Explanation:

(1) 6x + 5y = 2

(2) 4x + 2y = 8

Multiply each equation by the coefficient of y in the other one.

Multiply (1) by 2 and (2) by 5.

(3) 12x + 10y = 4

(4) 20 x + 10y = 40 Subtract (3) from (2)

8x = 36 Solve for x

x = 9/2