# How do you solve 3x-2y=-4 and 3x+2y=16 using substitution?

May 21, 2018

Find 3 x using the first equation and put the value in the second

#### Explanation:

The first equation could be arranged

$3 x - 2 y = - 4$

$3 x = 2 y - 4$

Now put this into the second equation

$3 x + 2 y = 16$ (Instead of 3x, put the value found above)

$2 y - 4 + 2 y = 16$

$4 y = 16 + 4$

$4 y = 20$

$y = 5$

Now you can using x (using the fist equation)

$3 x = 2 y - 4$ (now we know $y = 5$)

$3 x = 2 \times 5 - 4$

$3 x = 10 - 4$

$3 x = 6$

$x = \frac{6}{3} = 2$

$x = 2 \mathmr{and}$y=5#