Test Review - Chapter 5.1-2 Systems of Equations

Front

Solve the system of equations: -4x + y = 3 and x + y = -2

Back

(-1, -1)

Front

If a system of linear equations has one solution, what does this mean about the two lines?

Back

Intersecting lines

Front

Parallel lines never intersect because...

Back

they have the same slopes.

Front

Solve the system by substitution: 5x + 4y = -14 and y = -7x - 15

Back

(-2, -1)

Front

Solve the system by substitution: y = 2x - 11 and 2x - 8y = 4

Back

(6, 1)

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 two lines are parallel in a system of equations?

Back

They have the same slope but different y-intercepts.

Front

What is the graphical representation of a system with no solution?

Back

Two parallel lines.

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable and substituted into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

A method where equations are added or subtracted to eliminate one variable.