Question what-i

1.4 Systems of Two Linear Equations - Substitution method
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Equation 1: y equals 2 x plus 3. Equation 2: x equals 1.

What is the solution the ordered pair, x comma y, to the given system of equations?

A.

1 comma 2

B.

1 comma 5

C.

2 comma 3

D.

2 comma 7

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 x equals 1, substituting 1 for x in the first equation yields y equals, 2 times 1, plus 3. Simplifying the right-hand side of this equation yields y equals, 2 plus 3, or y equals 5. Therefore, the ordered pair 1 comma 5 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 equals 1, x cannot equal 2 as stated in these ordered pairs.