Question

6x + 3y = -6 2x + y = -2 A. x = 0, y = -2 B. infinite solutions C. x = -1, y = 0 D. no solution

Answer 1

B. infinite solutions

Step-by-step explanation

We want to solve the equation;

`6x + 3y = - 6...(1)`

and

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

We multiply the second equation by 3 to get:

`6x + 3y = - 6...(3)`

We now subtract equation (1) and (3).

`6x - 6x + 3y - 3y = - 6 - - 6`

This implies that

`0 = 0`

Hence the equation has infinitely many solutions.