solve the equations 8a+45b=5, 12a-30b=1. If a = 1/3x-2 and b=1/4y+3 find x and y.
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If a = 1/3x - 2
b = 1/4y + 3
8a + 45b = 5
8 * 1/3x - 2 + 45 * 1/4y + 3 = 5
8/3x - 2 + 45/4y + 3 = 5
8 - 6x/3x + 45 + 12y/4y = 5
32y - 24xy + 135x + 36xy/12xy = 5
32y + 12xy + 135x/12xy = 5
32y + 135x + 12xy = 5 * 12xy
32y + 135x = 60xy - 12xy
135x = 48xy - 32y
x = 48xy - 32y/135
then,
y = 48xy - 135x/32
hope this helps you
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