# How do you solve the system of equations Y= -3X +5 and Y= X + 5?

Sep 23, 2015

$X = 0$
$Y = 5$

#### Explanation:

Y=−3X+5 -------------------(1)
$Y = X + 5$ ------------------(2)

Substitute $Y = X + 5$ in equation (2)

X+5=−3X+5

Solve it for X
$X + 3 X = 5 - 5$
$4 X = 0$
$X = \frac{0}{4} = 0$

Substitute $X = 0$ in equation (1)
$Y = 0 + 5$
$Y = 5$