sat suite question viewer

Algebra / Systems of two linear equations in two variables Difficulty: Easy

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?

Back question 19 of 112 Next

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.