SOLUTION: I have been struggling on this problem for awhile. I was wondering if anyone could help me? Please and Thank You!! solve each system by using multiplication with the addition

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Question 121532This question is from textbook Algebra Structure and Method
: I have been struggling on this problem for awhile. I was wondering if anyone could help me? Please and Thank You!!

solve each system by using multiplication with the addition-or-subtraction method.
p over 8 + q over 6 = 1
p over q = negative two-thirds
This question is from textbook Algebra Structure and Method

Found 2 solutions by algebrapro18, Fombitz:
Answer by algebrapro18(249) About Me  (Show Source):
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.p%2F8%2Bq%2F6=1
2.p%2Fq=-2%2F3
From equation 2,
p%2Fq=-2%2F3
p=-%282%2F3%29q
Now substitute that value into equation 1.
1.p%2F8%2Bq%2F6=1
-%281%2F8%29%282%2F3%29q%2Bq%2F6=1
-%28q%2F12%29%2Bq%2F6=1
-%28q%2F12%29q%2B2q%2F12=1
q%2F12=1
highlight%28q=12%29
p=-%282%2F3%29q
p=-%282%2F3%2912
highlight%28p=-8%29