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Systems of two linear equations in two variables SAT question

Math · Algebra · Easy · Answer it here, explanation included.

$Equation 1: 3 x plus y, equals 29. Equation 2: x equals 2$

If $the ordered pair x comma y$ is the solution to the given system of equations, what is the value of y ?

Enter a number or fraction (like 3/17 or 0.176). Press Enter to check.

ExplanationShow

The correct answer is 23. Since it’s given that $x equals 2$ , the value of y can be found by substituting 2 for x in the first equation and solving for y. Substituting 2 for x yields $3 times 2, plus y, equals 29$ , or $6 plus y, equals 29$ . Subtracting 6 from both sides of this equation yields $y equals 23$ .

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