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Solve the system using the substitution method

Equation 1: 2x+5y =7
Equation 2: x+4y= 2

Please provide details to solve the equation

Respuesta :

First get x by itself. So subtract 4y and subtract it from 2 so it's x=2-4y. Then plug in the equation into the top equation. 2(2-4y)+5y=7. Distribute the 2 and solve normally. Y=-1. Then plug that into any equation to get what x equals. So x+4(-1)=2. X=6