school
Acemy

Systems of Two Linear Equations in Two Variables

SAT Math· difficulty 5/5

The system kx+y=1kx + y = 1 and x+ky=1x + ky = 1 has infinitely many solutions when:

  • A

    k=0k = 0

  • B

    k=2k = 2

  • C

    k=−1k = -1

  • D

    k=1k = 1

    check_circle

Explanation

At k=1k = 1: both equations are x+y=1x + y = 1 — same line. (At k=−1k = -1: equations become −x+y=1-x + y = 1 and x−y=1x - y = 1, which are parallel, no solution.)

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