# How do you solve y = x - 7, y = -2x + 5 by graphing and classify the system?

Jul 17, 2016

$\left(4 , - 3\right)$ is the solution

#### Explanation:

Given -

$y = x - 7$ -----------(1)
Find the two intercepts

y- intercept

At x=0; y=0-7=-7

$\left(0 , - 7\right)$ is a point on the curve

x-intercept

Aty=0; x-7=0; x=7

$\left(7 , 0\right)$ is another point on the curve.

Plot them and join them with the help of a straight line

$y = - 2 x + 5$----------(2)

Find the two intercepts

y-intercept
At x=0; y=-2(0)+5=5

$\left(0 , 5\right)$ is a point on the curve

At y=0; -2x+5=0; x=(-5)/(-2)=2.5

$\left(2.5 , 0\right)$ is another point on the curve

Plot these two points on the graph.

Join them with the help of a straight line.

Fix the point where they cut each other.

They cut at $\left(4 , - 3\right)$