school
Acemy

Systems of Two Linear Equations in Two Variables

SAT Math· difficulty 5/5

For what value of kk does the system 2x+ky=42x + ky = 4 and 4x+6y=k4x + 6y = k have infinitely many solutions?

  • A

    k=3k = 3

  • B

    k=6k = 6

  • C

    No such kk

    check_circle
  • D

    k=8k = 8

Explanation

Need 24=k6=4k\frac{2}{4} = \frac{k}{6} = \frac{4}{k}. From first two: k=3k = 3. Then 43≠12\frac{4}{3} \neq \frac{1}{2}, so the third ratio doesn't match. No such kk.

Want 10 more like this — adaptive to your weak spots?

Practice 10 like thisarrow_forwardPredict my AP score

Related questions

auto_awesomeAll Toolsquestion_answerHomework Q&Amenu_bookAP & SAT PreptimelineLearn Mode