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

##### 1 Answer

Jul 17, 2016

#(4, -3)# is the solution

#### Explanation:

Given -

#y=x-7# -----------(1)

Find the two intercepts

y- intercept

At

#(0, -7)# is a point on the curve

x-intercept

At

#(7, 0)# is another point on the curve.

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

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

Find the two intercepts

y-intercept

At

#(0, 5)# is a point on the curve

At

#(2.5, 0)# 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