How do I solve systems of equations with multiple variables?

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SUMMARY

This discussion focuses on solving systems of equations with multiple variables, specifically the equations 0.5x + 0.5y = 0.5 and 0.5x² + 0.5y² = 1/3. The recommended approach involves selecting one variable, either x or y, and solving for it in one equation. This value can then be substituted into the other equation to find the corresponding value of the second variable, allowing for a complete solution of the system.

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How do I solve this:
.5x+.5y=.5
.5x^2+.5y^2=1/3
 
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working with multiple equations to find an equal multiple of variables requires solving and subsitution.

First, pick x or y, and one equation, and solve the chosen equation for the chosen variable.

The term that x is equal to can be substituted in for x in the leftover equation to find a specific y, which can then be substituted into either equation to find x.
 

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