Solve by the substitution method x - y = 5 9x + 4y = -59 What is the solution of the system?

Question

Solve by the substitution method
x - y = 5
9x + 4y = -59
What is the solution of the system? Select the correct choice below:
A. The unique solution to the system is (Type an ordered pair)
B. There are an infinite number of solutions.
C. There is no solution.

SnapAndSolve AI · Accepted Answer

First, solve the first equation for x:x = y + 5Substitute x in the second equation:9(y + 5) + 4y = -59Simplify and solve for y:9y + 45 + 4y = -5913y + 45 = -5913y = -104y = -8Substitute y back into x = y + 5:x = -8 + 5 = -3The unique solution to the system is (-3, -8). A. The unique solution to the system is (-3, -8). B. There are an infinite number of solutions. C. There is no solution.

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Solve by the substitution method x - y = 5 9x + 4y = -59 What is the solution of the system?

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