Question 3-x-21
In the given equation, is a constant. The equation has infinitely many solutions. What is the value of ?
3 x + 21 = 3 x + k In the given equation, k is a
Medium-difficulty · SAT Math · Linear Equations in One Variable — Variables on both sides. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
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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