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Linear equations in one variable SAT question

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

6 x plus k, equals, 6 x plus 5

In the given equation, k is a constant. If the equation has infinitely many solutions, what is the value of k ?

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

ExplanationShow

The correct answer is 5. Subtracting 6 x from both sides of the given equation gives k equals 5, so for any value of x, 6 x plus k, equals, 6 x plus 5 if and only if k equals 5. Therefore, if the given equation has infinitely many solutions, the value of k is 5.

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