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Math Asked by a SnapAndSolve user · about 1 hour ago

Solve the system by the addition method. 3x - 4y = -18 4x + 3y = 1 Select the correct choice below and, if...

Solve the system by the addition method.
3x - 4y = -18
4x + 3y = 1
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution set is ( ). (Type an ordered pair.)
B. There are infinitely many solutions.
C. There is no solution.

Answer

Solution:

  1. Multiply the first equation by 3 and the second equation by 4 to eliminate y:

9x - 12y = -54

16x + 12y = 4

  1. Add the equations:

25x = -50

  1. Solve for x:

x = -2

  1. Substitute x = -2 into the first equation:

3(-2) - 4y = -18

-6 - 4y = -18

-4y = -12

y = 3

Answer: A. The solution set is (-2, 3).

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