Substitution/Elimination Method

Front

What is the Substitution Method in solving systems of equations?

Back

The Substitution Method involves solving one equation for one variable and substituting that expression into the other equation.

Front

What is the Elimination Method in solving systems of equations?

Back

The Elimination Method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.

Front

Solve the system: 4x + 8y = 20 and -4x + 2y = -30

Back

(7, -1)

Front

Solve the system: 3x + y = 19 and 2x - y = 6

Back

(5, 4)

Front

Solve the system: 2x - 5y = 12 and y = -2

Back

(1, -2)

Front

Solve the system: -6x + 5y = 1 and 6x + 4y = -10

Back

(-1, -1)

Front

Solve the system: x + y = 19 and y = 3x - 1

Back

(5, 14)

Front

What is a system of equations?

Back

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

Front

What does it mean for a system of equations to have no solution?

Back

A system has no solution if the equations represent parallel lines that never intersect.

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

A system has infinitely many solutions if the equations represent the same line.