Question 8-x-y-

1.4 Systems of Two Linear Equations - Substitution method
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8x+y=5

y=9x+1 

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

A.

-6

B.

4 17

C.

6 17

D.

4

8 x + y = 5 y = 9 x + 1 The solution to the

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

Choice B is correct. The second equation in the given system is y = 9 x + 1 . Substituting 9 x + 1 for y in the first equation in the given system yields 8x+9x+1=5, which is equivalent to 17 x + 1 = 5 . Subtracting 1 from both sides of this equation yields 17 x = 4 . Dividing both sides of this equation by 17 yields x = 4 17 .

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

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

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