Question

3x-7y=6
2x+7y=4
Solve by elimination

Answer 1

$3x-7y=6\\ \underline{2x+7y=4}\\ 5x=10\\ x=2\\\\ 3\cdot2-7y=6\\ 6-7y=6\\ -7y=0\\ y=0$

Answer 2

$3x-7y=6 \\ \underline{2x+7y=4} \\ 3x+2x=6+4 \\ 5x=10 \ \ \ |\div 5 \\ x=2 \\ \\ 3x-7y=6 \\ 3 \times 2-7y=6 \\ 6-7y=6 \ \ \ |-6 \\ -7y=0 \ \ \ |\div (-7) \\ y=0 \\ \\ (x,y)=(2,0)$