# GMAT Math : Solving linear equations with two unknowns

## Example Questions

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### Example Question #21 : Solving Linear Equations With Two Unknowns

Solve the following system of equations:       Explanation:

To solve, I used the elimination method by adding the tqo equations together. That eliminates y and leaves you with: Therefore, ### Example Question #22 : Solving Linear Equations With Two Unknowns

Which of the following equations is parallel to the line given by the equation:       Explanation:

For lines to be parallel, their equations must have equal slopes. Therefore, we are looking for another line with a slope of -4/3. If we convert the equation: into slope - intercept form, we get:  It has the same slope, and therefore is parallel to the original line.

### Example Question #23 : Solving Linear Equations With Two Unknowns

The equations and intersect at the point . What is y?      Explanation:

The easiest way to solve the problem is to solve for y in one of the equations and then plug it into the other equation:     We can then plug that x-value into one of the original equations:  1 3 Next →

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