Solve the following system using elimination. If a single solution exists, write the solution as an ordered pair. Your answer will be an ordered pair, no solution, or infinitely many solutions.

Question

-a+b=-4
2a-3b=-2

Answer 1

Multiply first equation by 2, then add the equations.

-2a+2b=-8
2a-3b=-2

-b = -10

Solve for b then a.