How do I solve systems of equations with multiple variables?

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NINHARDCOREFAN
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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.