# How do you solve the system of linear equations y = 2x-3 and y = 1/2x + 3?

Apr 5, 2018

$y = 5$
$x = 4$

#### Explanation:

$y = 2 x - 3$ --- (1)
$y = \frac{1}{2} x + 3$ --- (2)

(1) = (2)

$2 x - 3 = \frac{1}{2} x + 3$
$4 x - 6 = x + 6$
$3 x = 12$
$x = 4$ --- (3)

Sub (3) into (2)

$y = \frac{1}{2} \left(4\right) + 3$
$y = 5$