How many solutions does the system have?
You can use the interactive graph below to find the answer.
{
x
+
2
y
=
2
2
x
+
4
y
=
−
8

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x+2y=2
2x+4y=−8

I used trial and error.

x=any negative even number greater than or equal to 0.

y=any whole number that ends 2 greater than x.

(2,3)

Step-by-step explanation:

A system of equations is 2 or more equations for which the same x,y solution exists. We can solve the system in three ways: elimination, substitution, or graphing. Substitution can be used by substituting the value of one variable into the equation.

Because y=5x-7, we can substitute 5x-7 into y in -3x-2y=-12.

-3x-2(5x-7)=-12

-3x-10x+14=-12

-13x+14=-12

-13x+14-14=-12-14

-13x=-26

x=2

We now substitute x=2 into y=5x-7.

y=5(2)-7

y=10-7

y=3