school
Acemy

Systems of Two Linear Equations in Two Variables

SAT Math· difficulty 5/5

The lines ax+by=1ax + by = 1 and bx+ay=5bx + ay = 5 intersect at (2,3)(2, 3). What is a+ba + b?

  • A

    56\frac{5}{6}

  • B

    15\frac{1}{5}

  • C

    625\frac{6}{25}

  • D

    65\frac{6}{5}

    check_circle

Explanation

2a+3b=12a + 3b = 1 and 2b+3a=52b + 3a = 5. Adding: 5a+5b=65a + 5b = 6 → a+b=65a + b = \frac{6}{5}.

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