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U.3 Solve a system of equations by graphing: word problems - Free Printable

Educational worksheet: U.3 Solve a system of equations by graphing: word problems. Download and print for classroom or home learning activities.

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- System of equations:
- David's cost: y = 4 + 1x
- Alec's cost: y = 1 + 2x

- Graph:
- Plot the line y = x + 4 (David’s plan) with y-intercept at (0, 4) and slope 1.
- Plot the line y = 2x + 1 (Alec’s plan) with y-intercept at (0, 1) and slope 2.
- The lines intersect at the point (3, 7).

- Solution:
- Set the equations equal to find when costs are the same:
4 + x = 1 + 2x
4 - 1 = 2x - x
3 = x
- Substitute x = 3 into either equation:
y = 4 + 3 = 7
- The cost is the same after 3 minutes.

3 minutes

Parent Tip: Review the logic above to help your child master the concept of systems of equation word problems worksheet.

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