Answer
(2,5)
Work Step by Step
3x + y = 11
x + 2y = 12
y=11-3x (rearranged formula by subtracting 3x from both sides)
x+2y=12
x+2(11-3x)=12 (subsituted y=11-3x into x+2y=12)
x+22-6x=12
-5x=-10 (subtracted 22 from both sides)
x=2 (divided both sides by -5)
2+2y=12 (subsituted 2 into the "x" in x+2y=12)
2y=10 (subtracted 2 from both sides)
y=5 (divided 2 from both sides)
this gives us (2,5)
Check if this works for the other formula:3x+y=11
3(2)+5=11
6+5=11
11=11
This shows that (2,5) is correct
