Question

−6x – 9y = 0
-
6x - 5y = 28
Solve each system by elimination

Answer 1

x = 3

y = -2

Explanation:

Solving system of equations by elimination method

-6x - 9y = 0 --------------(I)

6x - 5y = 28 ------------(II)

Add equation (I) and (II). Thus x will be eliminated and we can find the value of y.

(I) -6x - 9y = 0

(II) 6x - 5y = 28 {Now add}

-14y = 28

y = 28/(-14)

`\sf \boxed{\bf y = -2}`

Plugin y = -2 in equation (I)

-6x - 9*(-2) = 0

-6x + 18 = 0

-6x = -18

x = (-18)/(-6)

`\sf \boxed{\bf x = 3}`