Answer: (4/3, 5/3)
Explanation:
Substitute equation 1 into equation 2:
-x + 3 = 2x - 1
Add x to both sides:
3 = 3x - 1
Add 1 to both sides:
4 = 3x
Divide both sides by 3:
4/3 = x
Substitute that back into one of the equations:
y = -x + 3
y = -(4/3) + 3
y = -4/3 + 9/3
y = 5/3
Double check to make sure you get the same answer in both equations:
y = 2x - 1
y = 2(4/3) -1
y = 8/3 - 1
y = 8/3 - 3/3
y = 5/3
We got the same answer for y both times, so we know that we got the correct x and y pair.