SOLUTION: 15x+11y=132, 2x+3y=59

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Question 29715: 15x+11y=132, 2x+3y=59
Answer by Cintchr(481)   (Show Source): You can put this solution on YOUR website!


to solve, we can solve for x in the 2nd equation and plug it into the first to find y.
subtract 3y from both sides
divide all parts by 2

plug this back into equation #1

distribute 15 to the quantity
change the fractions to a common denom of 2
drop the denoms
multiply
combine like terms
subtract 885 from both sides

divide by -23

pick either of the equations and plug y=27 in.

multiply
subtract 81 from both sides
divide both sides by 2

the solution, or ordered pair, where the two lines cross is :
(-11,27)