16Hit1600
AlgebraVery hardConstant giving a system no solution

Algebra practice question

The system kx + 2y = 7 and 3x + y = 4, where k is a constant, has no solution. What is the value of k?

Answer: 6

No solution means parallel lines: the coefficient ratios must match, k/3 = 2/1, so k = 6. (The constants' ratio 7/4 differs, so the lines are distinct.)

Common wrong answers

If you answered 2
2 copies the y-coefficient.
If you answered 3
3 copies the x-coefficient of the second equation.
If you answered 1.5
1.5 inverts the ratio (3/2).

More Algebra questions

Not affiliated with the College Board. SAT is a trademark of the College Board.