Question 1015989: The solution to this system of equations is (-2,1). Find the values of p and q
px + (9-q)y=-10
(3p+1)-(q-6)y=-7
Answer by ikleyn(52787)   (Show Source):
You can put this solution on YOUR website! .
The solution to this system of equations is (-2,1). Find the values of p and q
px + (9-q)y=-10
(3p+1)-(q-6)y=-7
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Substitute the given solution x = -2 and y = 1 into the system. You will get
(-2)*p + 1*(9-q) = -10,
3p + 1 - 1*(q-6) = -7.
Simplify:
-2p - q = -10 - 9,
3p - q = -7 - 1 - 6,
or
-2p - q = -19.
3p - q = -14.
It is your system for p and q.
Now solve it to find p and q. For it, distract the first equation from the second one.
The next steps are obvious. Please complete the solution yourself.
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