How do you solve the system by graphing #-3x - y = -3# and #5x + y = 5#?

1 Answer
May 24, 2018

Answer:

#x=1, y=0#

Explanation:

Here we have two linear equations in #x and y#.

#-3x-y=-3 -> y=-3x+3#

#5x+y=5 -> y=-5x+5#

To solve by graphing we simply plot the two lines, then the point where they intersect is the solution point #(x, y)#

As below:

graph{(-y-3x+3)(-y-5x+5)=0 [-0.275, 3.144, -0.98, 0.728]}

Now we can see that the solution point is #(1,0)#

#:. x=1, y=0# is the solution to the system.

Check:

#-3xx1-0 =-3 and 5xx1+0 =5#