Question x-7-10

1.4 Systems of Two Linear Equations - Substitution method
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x + 7 = 10

x+72=y

Which ordered pair x,y is a solution to the given system of equations?

A.

3,100

B.

3,3

C.

3,10

D.

3,70

x + 7 = 10 x + 7 2 = y Which ordered pair x ,

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 A is correct. The solution to a system of equations is the ordered pair x,y that satisfies all equations in the system. It's given by the first equation in the system that x+7=10. Substituting 10 for x + 7 into the second equation yields 102=y, or y=100. The x-coordinate of the solution to the system of equations can be found by subtracting 7 from both sides of the equation x+7=10, which yields x=3. Therefore, the ordered pair 3,100 is a solution to the given system of equations.

Choice B 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.