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

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Answer 1 · 2018-05-24T03:42:51

#x=1, y=0#

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#