Question

Solve this system of equations by elimination. Enter your answer as an ordered pair (x,y). Do not use spaces in your answer. If your answer is no solution, type "no solution". If your answer is infinitely many solutions, type "infinitely many solutions".

Answer 1

5x + 2y = -12 (a)

3y + 5x =-8 (b)

First, write (b) in the ax+by=c form:

5x + 3y = -8 (b)

Now, subtract (b) to (a) to eliminate x

5x + 2y = -12

-

5x + 3y = -8

__________

-y = -4

solve for y:

Multiply both sides by -1

y=4

Replace y=4 on (a) and solve for x:

5x + 2 (4) = -12

5x + 8 = -12

5x = -12-8

5x = -20

x = -20/5

x = -4

Solution: (-4,4)