# How do you solve y=3x+1 and y=5x-3?

Apr 8, 2018

$\left(2 , 7\right)$
$x = 2$
$y = 7$

#### Explanation:

Set the equations equal to one another (they both equal y):

$3 x + 1 = 5 x - 3$

$3 x + 4 = 5 x$

$4 = 2 x$

$x = 2$

Now plug 2 in for x and solve for y:

$y = 3 \cdot 2 + 1$

$y = 6 + 1$

$y = 7$

$y = 5 \cdot 2 - 3$

$y = 10 - 3$

$y = 7$