SOLUTION: Find the numbers C and D such that (-4,-7) is a solution of the following system: -4x + Cy =-3 Dx - 2y =24

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Question 203846: Find the numbers C and D such that (-4,-7) is a solution of the following system:

-4x + Cy =-3
Dx - 2y =24
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Find the numbers C and D such that (-4,-7) is a solution of the following system:
-4x + Cy =-3
Dx - 2y = 24
:
Substitute -4 for x and -7 for y
-4(-4) + C(-7) = -3
D(-4) - 2(-7) = 24
:
+16 - 7C = -3
-4D + 14 = 24
:
-7C = -3 - 16
7C = 3 + 16
C = 19%2F7
and
-4D = 24 - 14
-4D = 10
D = 10%2F%28-4%29
D = -5%2F2