Question x-3-y-

1.4 Systems of Two Linear Equations - Substitution method
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x + 3 y = 29

3 y = 11

The solution to the given system of equations is x,y. What is the value of x ?

Enter your answer:

x + 3 y = 29 3 y = 11 The solution to the given system

Hard-difficulty · SAT Math · Systems of Two Linear Equations — Substitution method. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

The correct answer is 18 . It's given by the second equation in the system that 3 y = 11 . Substituting 11 for 3 y in the first equation in the system, x + 3 y = 29 , yields x + 11 = 29 . Subtracting 11 from both sides of this equation yields x = 18 .