# Algebra Vocabulary Chapter 7

## 10 terms

### elimination method

A method for solving a system of linear equations where you add or subtract the equations to eliminate a variable.

### infinitely many solutions

The number of solutions of a system of equations in which the graphs of the equations are the same line.

### linear inequality

A mathematical sentence that describes a region of the coordinate plane having a boundary line. Each point in the region is a solution of the inequality.

### no solution

When the graphs of the equations in a system are parallel with no point of intersection.

### solution of a system of linear equations

Any ordered pair in a system that makes all the equations of that system true.

### solution of a system of linear inequalities

Any ordered pair that makes all of the inequalities in the system true.

### solutions of an inequality

Any value or values of a variable in the inequality that makes an inequality true.

### substitution method

A method of solving a system of equations by replacing one variable with an equivalent expression containing the other variable.

### system of linear equations

Two or more linear equations using the same variables.

### system of linear inequalities

Two or more linear inequalities using the same variables.