ALG Spiral Review Homework #15

Front

Solve by elimination: 4x - 6y = -6 and -2x - 12y = -12

Back

(0, 1)

Front

Solve by elimination: 3x + 7y = 23 and -3x - 7y = -17

Back

No solution

Front

When you graph the exact same equation twice, what is the result?

Back

You will have infinite solutions.

Front

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?

Back

3x + 2y = 315 and 2x + 4y = 450

Front

Solve for x and y: 2x - 3y = -1 and y = x - 1

Back

(4, 3)

Front

What is the elimination method in solving systems of equations?

Back

A method to eliminate one variable by adding or subtracting equations.

Front

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

Back

The lines representing the equations are parallel.

Front

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

Back

The lines representing the equations are the same.

Front

How do you determine if a system of equations is consistent?

Back

If it has at least one solution.

Front

What is a system of linear equations?

Back

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