Unit 7 Review

Front

Solve the system of equations by elimination: -8x - 3y = -20; 8x - 2y = 0

Back

(1, 4)

Front

Solve the system of equations by substitution: -8x - 8y = -24; 4x + 5y = 7

Back

(8, -5)

Front

Solve the system of equations by elimination: -x - 3y = -30; -3x - 9y = -90

Back

Infinite number of solutions

Front

Solve the system of equations by substitution: 7x - 6y = -9; y = -7x - 23

Back

(-3, -2)

Front

Solve the system of equations by substitution: y = 2x - 15; y = 4x - 23

Back

(4, -7)

Front

Definition of a system of equations

Back

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

Front

What is elimination method in solving systems of equations?

Back

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

Front

What is substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable, which is then substituted into the other equation.

Front

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

Back

The equations represent the same line, meaning they intersect at an infinite number of points.

Front

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

Back

The equations represent parallel lines that never intersect.