Solving Systems by Elimination

Front

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

Back

Get both equations in standard form and line up the like terms.

Front

Which system of equations represents Nancy's grocery purchases?

Back

4x + 6y = 13 and 3x + 7y = 13.5

Front

In the system 4x + 8y = 20 and -4x + 2y = -30, which variable will be eliminated?

Back

The x

Front

What does the top equation need to be multiplied by to create a zero pair in the system 2x - 6y = 20 and 2x + 5y = -11?

Back

-1

Front

Solve by elimination: 4x + 9y = 28 and -4x - y = -28. What is the solution?

Back

(7, 0)

Front

What is the elimination method in solving systems of equations?

Back

A method that involves adding or subtracting equations to eliminate one variable.

Front

What is a zero pair in the context of elimination?

Back

A pair of terms that sum to zero, allowing for the elimination of a variable.

Front

How do you determine which variable to eliminate in a system of equations?

Back

Choose the variable that can be easily eliminated by adding or subtracting the equations.

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are integers.

Front

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

Back

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