Chapter 5 Review

Front

Solve the system of equations: x + y = 2 and 2x + 7y = 9

Back

(1, 1)

Front

Solve the following system of equations: y = x - 1 and 2x + y = 8

Back

(3, 2)

Front

Solve the system: x - y = 1 and x - y = 6

Back

No Solution

Front

Solve the following system: x - y = -2 and -3x + 3y = 6

Back

Infinite Solutions

Front

Solve the following system of equations: y = x - 4 and -2x + y = 18

Back

(-22, -26)

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean if a system of equations has no solution?

Back

The lines representing the equations are parallel and never intersect.

Front

What does it mean if a system of equations has infinite solutions?

Back

The equations represent the same line, so every point on the line is a solution.

Front

How do you solve a system of equations using substitution?

Back

Solve one equation for one variable and substitute that expression into the other equation.

Front

How do you solve a system of equations using elimination?

Back

Add or subtract the equations to eliminate one variable, then solve for the remaining variable.