The maximum area is the area that uses half the fence (150 ft) for the side parallel to the barn and the other half for the ends of the pen (75 ft each). That area is 11,250 ft^2.
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-2(8m+8) = -16
-16m - 16 = -16
His first mistake lies in his distribution. When multiplying -2 * 8, he made it a positive 16, when he should have made it a negative 16.
-16m - 16 = -16
Add 16 to each side.
-16m = 0
Divide that by -16
m = 0
You simply plug in the value of x in each equation to find y.
1)
y = 7 - 3(2)
y = 7 - 6
y = 1
2)
y = 18/2
y = 9
hope this helped, blessings!