# How do you find the ordered pair solution to the following system of equations (Use any method): 3x – 2y = –1 and 2x + y =5?

Jul 26, 2017

Multiply e second equation with 2, then combine equations to get x first. You can find $x = \frac{9}{7}$ and $y = \frac{17}{7}$

#### Explanation:

$3 x - 2 y = - 1$
$4 x + 2 y = 10$ (when you multiply the second equation with 2)

Combine these equations now, yielding
$7 x = 9$
Therefore you can easily get
$x = \frac{9}{7}$

Now put this value in the first original equation to find y

$3 \times \left(\frac{9}{7}\right) - 2 y = - 1$

$\frac{27}{7} - 2 y = - 1$

$\frac{27}{7} + 1 = 2 y$

$\frac{34}{7} = 2 y$

$y = \frac{17}{7}$

or $y = 2 \times \left(\frac{3}{7}\right)$