y = 1 3 x - 14 y = - x + 18 The solution to the given system of

Question

y = 1 3 x - 14 y = - x + 18 The solution to the given system of equations is x , y . What is the value of x ?

Accepted Answer

The correct answer is 24 . The given system of equations can be solved by the substitution method. The first equation in the given system of equations is y = 1 3 x - 14 . Substituting 1 3 x - 14 for y in the second equation in the given system yields 1 3 x - 14 = - x + 18 . Adding 14 to both sides of this equation yields 1 3 x = - x + 32 . Adding x to both sides of this equation yields 4 3 x = 32 . Multiplying both sides of this equation by 3 4 yields x = 24 .

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