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

ANSWER

B. infinite solutions

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.