Question

What is the solution to this system of equations? x − 2y = 15 2x + 4y = -18 A. x = 1, y = -6 B. x = 1, y = -7 C. x = 3, y = -6 D. x = 3, y = -7

Answer 1

C. x = 3, y = -6

Explanation:

Here, the given system of equation,

`x-2y=15-----(1)`

`2x+4y=-18----(2)`

From equation (2),

`2(x+2y)=-18`

`\implies x+2y=-9----(3)`

Adding equation (1) and (3),

`2x=6`

`\implies x = 3`

From equation (1),

`3-2y=15`

`-2y=15-3`

`-2y=12`

`\implies y = -6`

Hence, the solution of the given system of equation is x = 3, y = -6,

Option 'C' is correct.