Question y-3-x-

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

4x+y=15

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

A.

1

B.

5

C.

15

D.

45

y = - 3 x 4 x + y = 15 The solution to the given

Medium-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

Choice C is correct. The given system of linear equations can be solved by the substitution method. Substituting -3x for y from the first equation in the given system into the second equation yields 4x+-3x=15, or x=15.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect. This is the absolute value of y , not the value of x .