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Linear equations in one variable SAT question

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

In the given equation, is a constant. The equation has infinitely many solutions. What is the value of ?

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

ExplanationShow

The correct answer is . It's given that the equation has infinitely many solutions. If an equation in one variable has infinitely many solutions, then the equation is true for any value of the variable. Subtracting from both sides of the given equation yields . Since this equation must be true for any value of , the value of is .

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