Question 5-x-15

1.4 Systems of Two Linear Equations - Substitution method
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5 x = 15

- 4 x + y = -2

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

A.

-17

B.

-13

C.

13

D.

17

5 x = 15 - 4 x + y = - 2 The solution to the

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. Adding the second equation of the given system to the first equation yields 5x+-4x+y=15+-2, which is equivalent to x+y=13. So the value of x+y is 13 .

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

Choice B is incorrect. This is the value of -(x+y).

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