SOLUTION: 2x + 2y=8 and 4x-6y=36 solution (6,2) how did my text book come up with thesesolutions

Question 187419: 2x + 2y=8 and 4x-6y=36

solution (6,2) how did my text book come up with thesesolutions
Found 2 solutions by nerdybill, josmiceli:
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Assuming you are expected to solve a system linear equations using the "elimination method":
.
2x + 2y = 8
4x - 6y = 36
.
multiply both sides of the top equation and add it to the second:
6x + 6y = 24
4x - 6y = 36
------------
10x = 60
Dividing both sides by 10:
x = 6
.
Now, we plug the value above into either equation to find y. Let's pick the top one:
2x + 2y = 8
2(6) + 2y = 8
12 + 2y = 8
2y = -4
y = -2
.
therefore:
(x,y) = (6, -2)

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
(1)
Divide both sides by
(1)
(1)
(2)
Divide both sides by
(2)
Substitute (1) in (2)
(2)
(2)
(2)
(2)
Substitute this back into (1)
(1)
(1)
(1)
(1)
The answer is (6,-2)
check answer:
(1)
(1)
(1)

(2)
(2)
(2)
(2)
OK

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