How do you solve the system of equations #x+y=8# and #x-2y=-4# by graphing?

1 Answer
Nallasivam V
Jul 7, 2016

The solution is#=(4, 4)#

Explanation:

Given -

#x+y=8# ---------------- (1)
Find the X , Y intercepts.
At #x=0; y=8#
#(0, 8)# is one of the points on this line.
At #y=0; x=8#
#((8, 0)# is another point on the same line.

Plot them and join them with a straight line.[Red Colour Line]

#x-2y=-4# ---------- (2)

Find the X, Y intercepts.

At #x=0; y=2#

#(0, 2)# is a point on the 2nd line
At #y=0; x=-4#
#(-4, 0)# is another point on the same line
Plot these two points and join them with the help of a straight line.[Blue colour line]

Locate the point where they cut each other. It is #(4, 4)#

This is the solution

Look at the graph ution.

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