How do you solve $2y = 4x + 2$ and $y + 3 = 2x$ ?

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Answer 1 · 2017-06-16T22:20:11

No solution

For one of the equations, isolate a variable to one side. I chose $y+3=2x$ and isolated $y$ .
$y+3=2x$
$y=2x-3$

Substitute this equation for $y$ in the other equation and solve.
$2y=4x+2$
$2(2x-3)=4x+2$
$4x-6=4x$
$-6≠0$

This equation is untrue, which means there is no solution.

How do you solve 2y = 4x + 22y = 4x + 2 and y + 3 = 2xy + 3 = 2x?