Solving systems by graphing | Summary and Q&A

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June 14, 2010
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Khan Academy
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Solving systems by graphing

TL;DR

Abby and Ben earned a total of $50, with Abby earning $10 more than Ben. By finding the point of intersection on the graph, Abby earned $30 and Ben earned $20.

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Questions & Answers

Q: How much did Abby and Ben earn from their household chores?

Abby earned $30 and Ben earned $20 from their household chores.

Q: Which strategy is most useful in finding the answer to the earnings problem?

The strategy of finding the point of intersection on the graph is the most useful in solving the problem.

Q: What does the statement "Abby earned $10 more than Ben" mean?

It means that Abby's earnings can be calculated by adding $10 to Ben's earnings.

Q: How can we represent Abby and Ben's earnings on a graph?

Abby's earnings can be represented on the vertical axis (a-axis) and Ben's earnings on the horizontal axis (b-axis).

Summary & Key Takeaways

  • Abby and Ben earned a total of $50 from their household chores.

  • Abby's earnings were $10 more than Ben's.

  • To find the solution, the point of intersection on the graph represents their earnings, which are $30 for Abby and $20 for Ben.

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