# How do you solve the following linear system:  -2x+5y=4, -2x+3y=4, ?

Dec 14, 2015

#### Answer:

$x = 2$, $y = 0$

#### Explanation:

You can subtract the two equations, to have

$- 2 x + 2 x + 5 y - 3 y = 4 - 4$

And thus

$2 y = 0 \setminus \implies y = 0$

Once you know that $y = 0$, you can eliminate it from the formula, to get

$- 2 x = 4$ and thus $x = - 2$