Question

How do you solve the system of equations for y=2x-4 y=4x-10

Answer 1

$\left\{\begin{array}{ccc}y=2x-4\\y=4x-10\end{array}\right\\\\subtitute:\\\\4x-10=2x-4\ \ \ \ \ |add\ 10\ to\ both\ sides\\4x=2x+6\ \ \ \ \ \ |subtract\ 2x\ from\ both\ sides\\2x=6\ \ \ \ \ \ |divide\ both\ sides\ by\ 2\\\boxed{x=3}\\\\y=2(3)-4\\y=6-4\\\boxed{y=2}$