Question

Solve the system using elimination.

Answer 1

`\text{Hello there!}\\\\\text{Make the x variables the same by multiplying 2x by 5 and 5x by -2}\\\\5(2x+6y=-12)\\\\-2(5x-5y=10)\\\\\\10x+30y=-60\\\\-10x+10y=-20\\\\40y=-80\\\\\text{Divide by 40}\\\\y=-2\\\\\text{Now, plug in -2 to y in any of the equations}\\\\2x+6(-2)=-12\\\\2x-12=-12\\\\2x=0\\\\x=0\\\\\boxed{\text{Answer: (0, -2)}}`