16Hit1600
AlgebraVery hardConstant for a system with no solution

Algebra practice question

For what value of k does the system 3x − y = 4 and kx + 2y = 7 have no solution?

Answer: -6

The lines must be parallel: the first has slope 3 and the second has slope −k/2, so −k/2 = 3 and k = −6. The constants 4 and 7 are not proportional, so the lines are distinct.

Common wrong answers

If you answered 3
3 copies the first coefficient.
If you answered 6
6 has the sign wrong.
If you answered -3
−3 forgets the factor of 2.

More Algebra questions

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