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

1 Answer
Jul 17, 2016

Answer:

#(4, -3)# is the solution

Explanation:

Given -

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

y- intercept

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

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

x-intercept

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

#(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 #x=0; y=-2(0)+5=5#

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

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

#(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 #(4, -3)#

Look at the graph