Solving Systems Review

Front

What happens when you graph the same linear equation twice?

Back

You will have infinite solutions.

Front

What is the solution to the system of equations represented by the point (1, 3)?

Back

The solution to the system is (1, 3).

Front

What is the first step in solving a system of equations by graphing?

Back

Write both linear equations in slope-intercept form.

Front

How do you solve the system of equations 4x + 9y = 28 and -4x - y = -28 by elimination?

Back

The solution is (7, 0).

Front

What is the first step in solving a system of equations by substitution?

Back

Make sure at least one equation is solved for one variable.

Front

What is a system of equations?

Back

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

Front

What does it mean for a system of equations to be consistent?

Back

A consistent system has at least one solution.

Front

What does it mean for a system of equations to be inconsistent?

Back

An inconsistent system has no solutions.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable.