Answer: (1, 2)
which means
x = 1
y = 2
Explanation:
y = -x + 3
y = 2x
Because both equations are set equal to y, they can be set equal to each other. The equations are ready to go to use Substitution method.
Substitute.
-x + 3 = 2x
Add x to both sides.
3 = 3x
Divide by 3.
3/3 = x
1 = x
We can put the 1 in for x in either equation.
y = 2x
y = 2(1)
y = 2
Putting x for 1 into the other equation is a good check.
y = -x + 3
y = -1 + 3
y = 2
So the x and y that work in both of these equations is:
x = 1 and y = 2
The form that was asked for was ( , ).
So the answer is
(1, 2).