# How do you solve the system by graphing y = - 3x + 8 and y = 2x + 3?

Feb 13, 2016

Solution is $x = 1$ and $y = 5$

#### Explanation:

As y=−3x+8 and $y = 2 x + 3$

$- 3 x + 8 = 2 x + 3$ or $8 - 3 = 2 x + 3 x$

Hence $5 x = 5$ or $x = 1$

Now putting this in first equation

$y = - 3 \cdot 1 + 8 = - 3 + 8 = 5$

Hence solution is $x = 1$ and $y = 5$