SOLUTION: hi,I have a problem solving this equation: 3p+q=11 p+q=7 santelle

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Question 160409: hi,I have a problem solving this equation: 3p+q=11
p+q=7
santelle
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the "system of equations":
This is quite straightforward, you just have to mind your p's and q's (lol)
3p%2Bq+=+11
p%2Bq+=+7 Rewrite this equation as: p+=+7-q and substitute for p into the first equation.
3%287-q%29%2Bq+=+11 Simplify this and solve for q.
21-3q%2Bq+=+11 Combine like-terms.
21-2q+=+11 Subtract 21 from both sides.
-2q+=+-10 Finally, divide both sides by -2.
q+=+5 Now substitute this for q into the second equation and solve for p.
5%2Bp+=+7 Subtract 5 from both sides.
p+=+2
The solution is: p = 2 and q = 5