Question what-i
What is the solution to the given system of equations?
What is the solution to the given system of equations?
Easy-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. Since it’s given that , substituting 1 for x in the first equation yields
. Simplifying the right-hand side of this equation yields
, or
. Therefore, the ordered pair
is a solution to the given system of equations.
Choice A is incorrect and may result from a calculation error when substituting 1 for x in the first equation. Choices C and D are incorrect. Because it’s given that , x cannot equal 2 as stated in these ordered pairs.
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