Given equations are:
x-y=6 Equation 1
4x+y=4 Equation 2
First find the intercepts of both equations.
Equation 1:
x-y=6
when x=0
-y=6
y=-6 Ordered pair is (0,-6)
When y=0
x-0=6
x=6 Ordered pair is (6,0)
Now find the x and y-intercepts of equation 2.
4x+y=4
When x=0
4(0)+y=4
y=4 Ordered pair is (0,4)
When y=0
4x+(0)=4
4x=4
x=1 Ordered pair is (1,0)
Now graph these points, we get the attached graph. Both the lines intersect each other at (2,-4). Which is the solution.
Answer: (2,-4)
