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Solve by using substitution or elimination by addition. 9x - 3y = -10 -63x + 21y = 71 Select the correct...

Solve by using substitution or elimination by addition.
9x - 3y = -10
-63x + 21y = 71
Select the correct choice below and fill in any answer boxes provided.
A. The solution is (Type an ordered pair.)
B. There are infinitely many solutions.
C. There is no solution.

Answer

Solution: Use elimination by addition.

  1. Multiply the first equation by 7 to align the coefficients of x:

63x - 21y = -70

-63x + 21y = 71

  1. Add the equations:

(63x - 21y) + (-63x + 21y) = -70 + 71

0 = 1

This is a contradiction, so there is no solution.

Answer: C. There is no solution.

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