# How do you solve the system by graphing 3x-5y=8 and x+2y=1?

Jul 21, 2017

See below

#### Explanation:

$3 x - 5 y = 8$
$x + 2 y = 1$

These can be represented as two straight lines on the $x y -$plane as below:

graph{(3x-5y-8)(x+2y-1)=0 [-10, 10, -5, 5]}

The solution of the system can be found at the point of intersection of the two lines. This point is $\approx \left(1.91 , - 0.46\right)$

Hence:

$x \approx 1.91$
$y \approx - 0.46$