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

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

Step-by-step 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

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

Step-by-step 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