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Algebra 1

2.7.1 Systems of Linear Equations with Infinitely Many Solutions

Algebra 12.7.1 Systems of Linear Equations with Infinitely Many Solutions
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Warm Up

Andre is trying to solve this system of equations:

{x+y=34x=12−4y{x+y=34x=12−4y

Looking at the first equation, he thought, “The solution to the system is a pair of numbers that add up to 3. I wonder which two numbers they are.”

1.

Choose any two numbers that add up to 3. Let the first one be the xx-value and the second one be the yy-value.

2.

The pair of values you chose is a solution to the first equation. Check if it is also a solution to the second equation. Then, pause for a brief discussion with your group.

3.

How many solutions does the system have? Use what you know about equations and solving systems to show that you are right.

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