### All Precalculus Resources

## Example Questions

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

Find the point of intersection by using Gaussian elimination:

**Possible Answers:**

**Correct answer:**

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.

Thus we have the answer

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

Solve the following system of equations:

**Possible Answers:**

**Correct answer:**

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:

**Possible Answers:**

**Correct answer:**

Because one of the variables, z, has already been isolated, let's use the substitution method to solve this system of equations. We know z = 1, so let's plug that into the middle equation to solve for y:

Now that we have found y, let's solve for x by plugging both y and z into the top equation:

Thus we have found that the point of intersection would be

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