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Systems of linear equations are so important because they give you an easy way to do mass and complex mathematical calculations. For example:

x/2 + y/4 = 255,

3x - y/2 = 100.

The first step is to solve the first equation for y:

2x + y = 1020,

y = 1020 - 2x.

Substitute that value of y into the second equation and solve for x:

3x - (1020 - 2x)/2 = 100,

3x - 510 + x = 100,

4x = 610,

x = 152.5.

Finally, substitute that value of x into the first equation to get the solution for y:

152.5/2 + y/4 = 255,

y/4 = 178.75,

y = 715.

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Q: Why are systems of linear equations so important?
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