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

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 ?

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Explanation

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.