Question

Solve 16x-2y=74 and 2x-2y=4

Answer 1

`-\underline{\left\{\begin{array}{ccc}16x-2y=74\\2x-2y=4\end{array}\right}\ \ \ |\text{subtract both sides of the equations}\\.\ \ \ \ \ \ 14x=70\ \ \ \ |:14\\.\ \ \ \ \ \ \ \ x=5\\\text{substitute the value of x to the second equation}\\\\2\cdot5-2y=4\\10-2y=4\ \ \ |-10\\-2y=-6\ \ \ |:(-2)\\y=3\\\\\text{Answer: x=5; y=3}`