5y = 10x + 11
−5y = 5x − 21
The solution to the given system of equations is (x, y). What is the value of 30x ?

Question

5y = 10x + 11 −5y = 5x − 21 The solution to the given system of equations is (x, y). What is the value of 30x ?

Accepted Answer

The correct answer is 20. Adding the first equation to the second equation in the given system yields 5y − 5y = 10x + 5x + 11 − 21, or 0 = 15x − 10. Adding 10 to both sides of this equation yields 10 = 15x. Multiplying both sides of this equation by 2 yields 20 = 30x. Therefore, the value of 30x is 20.

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