Answer:
(3, 1/2)
Step-by-step explanation:
Note that both equations have the term -2y. Let's eliminate y and find x first.
Rewriting 3x-2y=8 and 2x-2y=5 vertically:
3x-2y=8
2x-2y=5 Multiply this equation by -1, so that we have -2y and + 2y:
3x-2y=8
-2x+2y= -5
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x = 3
Now subst. 3 for x in the first equation: 3(3) - 2y = 8, or
9 - 2y = 8
We need to isolate -2y. To do this, subtract 8 from both sides:
1 - 2y = 0, or 2y = 1. Dividing both sides by 2, we get
y = 1/2
Thus, the solution is (3, 1/2).
