# SOLUTION: Solve using the multiplication principle first. Then use the elimination method: 7p+5q=2 8p-9q=17 I am not sure how to eliminate one of the factors. There is no common multip

Algebra ->  Algebra  -> Graphs -> SOLUTION: Solve using the multiplication principle first. Then use the elimination method: 7p+5q=2 8p-9q=17 I am not sure how to eliminate one of the factors. There is no common multip      Log On

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 Click here to see ALL problems on Graphs Question 377229: Solve using the multiplication principle first. Then use the elimination method: 7p+5q=2 8p-9q=17 I am not sure how to eliminate one of the factors. There is no common multiple of either P or Q. Please show me how to do this. Thanks.Answer by ankor@dixie-net.com(15623)   (Show Source): You can put this solution on YOUR website!Solve using the multiplication principle first. Then use the elimination method: : 7p + 5q = 2 8p - 9q = 17 : We will eliminate q, multiply the 1st equation by 9 multiply the 2nd equation by 5 : 63p + 45q = 18 40p - 45q = 85 -------------------adding eliminates q, find p 103p = 103 p = p = 1 : then use the 1st equation to find q, replace p with 1: 7(1) + 5q = 2 5q = 2 - 7 5q = -5 q = q = -1 : Check solutions in the 2nd equation 8(1) - 9(-1) = 17 8 + 9 = 17, confirms our solution : You can always use the coefficient of a variable in one equation and multiply the same variable in the other equation, and vice versa to eliminate the variable. If the signs are different, add; If the signs are the same, subtract