Question

What is the solution of the following?
-3y - 2y = -12
9x + 6y = -9

a. (2,1)
b. no solutions
c. (-2,-1)
d. infinitely many solutions

Answer 1

have you tried solving it?
you can use elimination and/or substitution method to find x and y

Answer 2

i think its b. but i just need to check

Answer 3

we'll check
-3x - 2y = -12 -----equation 1
9x + 6y = -9 ----equation 2
dividing the whole of equation 2 with 3
3x + 2y = -9 ------equation 2'
multiplying equation 1 with -1
3x + 2y =-12 ------equation 1'
equating both equations 1' and 2'
3x + 2y + 9 = 3x + 2y + 12
3x and 2y will cancel
9 is not equal to 12 therefore there is no solution

Answer 4

Thank you for the walkthrough!