Systems Review

Front

What does it mean if a system of linear equations has one solution?

Back

The two lines are intersecting lines.

Front

What is the solution to the system of equations: -x + y = -13 and -8x - 4y = -8?

Back

(5, -8)

Front

Which system represents the situation: Christian ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures for $134, then spent $120 on 3 boxes of each?

Back

4x + 3y = 134 and 3x + 3y = 120

Front

What is the solution when graphing the system of equations that results in the point (3, 3)?

Back

(3, 3)

Front

Solve the system: 2x + 3y = 10 and y = 2x + 14. What is the solution?

Back

(-4, 6)

Front

What are parallel lines in the context of linear equations?

Back

Parallel lines are lines that never intersect and have the same slope.

Front

What does it mean if two lines are the same line in a system of equations?

Back

It means there are infinitely many solutions.

Front

What is the elimination method in solving systems of equations?

Back

A method where you add or subtract equations to eliminate one variable.

Front

What is the substitution method in solving systems of equations?

Back

A method where you solve one equation for one variable and substitute it into the other equation.

Front

What is a consistent system of equations?

Back

A system that has at least one solution.