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Writing Consistent and Inconsistent Systems of Equations

2.7.4 Writing Consistent and Inconsistent Systems of Equations

2.7.4 • Writing Consistent and Inconsistent Systems of Equations

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Here is an equation: 5x−2y=105x−2y=10.

Create a second equation that would make a system of equations with:

1.

One solution

Compare your answer:

Your answer may vary, but here are some samples.

3x−y=73x−y=7

2x−5y=102x−5y=10

2.

No solutions

Compare your answer:

Your answer may vary, but here are some samples.

5x−2y=205x−2y=20

5x−2y=85x−2y=8

3.

Infinitely many solutions

Compare your answer:

Your answer may vary, but here are some samples.

15x−6y=3015x−6y=30

150x−20y=100150x−20y=100