SOLUTION: Pls help out in solving:{{{ the straight line ax + by = 11 passes through the points x=4 y=1 and x=5 y=-2 find the values of a and b}}}

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Question 975961: Pls help out in solving:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!

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The braces aren't helping.
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the straight line ax + by = 11 passes through the points x=4 y=1 and x=5 y=-2 find the values of a and b
(4,1) and (5,-2)
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There are several ways to do this.
4a + 1b = 11 Eqn 1
5a - 2b = 11 Eqn 2
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8a + 2b = 22 Eqn 1 times 2
5a - 2b = 11 Eqn 2
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13a = 33
a = 33/13 ********************
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4a + 1b = 11 Eqn 1
132/13 + b = 143/13
b = 11/13 *********************