# Precalculus : Solve Systems of Linear Equations

## Example Questions

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### Example Question #11 : Inequalities And Linear Programming

Find the point of intersection by using Gaussian elimination:

Explanation:

To solve this, let's first try to eliminate x. We can do this by adding the two equations:

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Which implies

We can now solve for x by plugging 2 in for y in either equation.

### Example Question #11 : Inequalities And Linear Programming

Solve the following system of equations:

Explanation:

Let's solve this equation by eliminating the variable x by adding a multiple of the second equation to the first.

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Now let's combine those y values and solve for y.

Now all we have to do is plug that in for y in either original equation to solve for x.

Thus this yields the intersection point

### Example Question #11 : Solve Systems Of Linear Equations

Solve the following system of equations for the intersection point in space: