# How do you solve the following system: 8x-3y=3, 5x+8y= -29 ?

Jul 24, 2017

Arrange equations, you will get $x = - \frac{63}{79}$ and $y = - \frac{247}{79}$

#### Explanation:

Enlarge the first equation by 8 and the second equation by 3.

$64 x - 24 y = 24$
$15 x + 24 y = - 87$

Now you have (after adding these equations):
$79 x = - 63$

Now you can have $x = - \frac{63}{79}$

Find y now after putting x value in the first original equation:

$8 \times \left(- \frac{63}{79}\right) - 3 y = 3$

$- 3 y = 3 + \left(\frac{504}{79}\right)$

$- 3 y = \frac{741}{79}$

$y = - \frac{247}{79}$

Now you have y

$y = - \frac{247}{79}$