Algebra 2A section 3.2 Substitution and Elimination Methods

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and then 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 remaining variable.

Front

Solve the system using substitution: y = 7x + 7, 2y + 2x = -18

Back

(-2, -7)

Front

Solve the system using substitution: y = -6, -3x - 6y = 24

Back

(4, -6)

Front

Solve the system by elimination: 8x + 10y = -20, -8x - 6y = -4

Back

(5, -6)

Front

Solve the system using substitution: x = -3y - 17, 2x + 3y = -7

Back

(10, -9)

Front

Solve the system using substitution: -4x + 4y = 8, y = -2x - 10

Back

(-4, -2)

Front

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

Back

It means that the equations represent the same line, and every point on that line is a solution.

Front

What is a consistent system of equations?

Back

A consistent system has at least one solution, meaning the lines intersect at one or more points.

Front

What is an inconsistent system of equations?

Back

An inconsistent system has no solutions, meaning the lines are parallel and never intersect.