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

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

1 Answer

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Answer 1 · 2017-06-16T22:20:11

No solution

Explanation:

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

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

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

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

1 Answer

Explanation:

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