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

##### 1 Answer

x=-2 \ & \ y=0

#### Explanation:

Given system of linear equations:

$2 x - 5 y = - 4 \setminus \ldots \ldots \ldots . \left(1\right)$

$- 2 x + 3 y = 4 \setminus \ldots \ldots \ldots \ldots \left(2\right)$

Now, adding (1) & (2) as follows

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

$- 2 y = 0$

$y = 0$

setting $y = 0$ in (1) we get

$2 x - 5 \left(0\right) = - 4$

$2 x = - 4$

$x = - 2$