# Thread: simultaneous equations

1. ## simultaneous equations

could you please help me solve this equation

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

2. Originally Posted by johnsy123
could you please help me solve this equation

$x-4y=-2$
$y=2x-3$
Substitute the value of y into the first equation.

$x - 4(2x - 3) = -2$

$x - 8x + 12 = -2$

$-7x + 12 = -2$

$-7x = -14$

$x = 2$.

Back substitute to find y.

$y = 2x - 3$

$y = 2\times 2 - 3$

$y = 4 - 3$

$y = 1$.