Answer:
Step-by-step explanation:
We can solve this in either of two ways. I'll do both.
Mathematically
3x + 2y = 8
5x + 2y = 12
Rewrite either equation to isolate y. I'll use
3x + 2y = 8
2y = 8 - 3x
y = (8-3x)/2
Now use this value of y in the other equation:
5x + 2y = 12
5x + 2((8-3x)/2) = 12
5x + (8 - 3x) = 12
2x = 4
x = 2
Use x=2 to find y:
y = (8-3x)/2
y = (8-3*(2))/2
y = (8-6)/2
y = 1
The point is (2,1)
Graphically
Graph the two equations and find the point they intersect. See attachment.
We obtain the same answer: (2,1)
