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Ask by Malone Barber. in the United States
Mar 14,2025

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Answer

The system has infinitely many solutions.

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The Deep Dive

Let’s have some fun solving this system of equations!
First, we can simplify the equations a bit. The first equation can be simplified by dividing everything by 6, giving us . Now, substitute into the second equation . Replacing , we have:
Now, combine like terms:
This simplifies to , which means the equations represent the same line, indicating an infinite number of solutions! So any point of the form is a solution to this system.
For those learning to solve linear equations, remembering that two equations could represent the same line is a key concept!

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