Solving Systems of equations by substitution

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one of the equations for one variable and then substituting that expression into the other equation.

Front

What is the first step in solving a system of equations using substitution?

Back

Get either variable by itself.

Front

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

Back

(2, 0)

Front

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

Back

It means that the lines represented by the equations are parallel and never intersect.

Front

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

Back

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

Front

Solve the system of equations: 2x + 3y = 6 and y = 2 - (2/3)x.

Back

(0, 2)

Front

How do you check if your solution to a system of equations is correct?

Back

Substitute the solution back into both original equations to see if they hold true.

Front

Solve the system of equations: x - 3y = -13 and 4x + 2y = 4.

Back

(-1, 4)

Front

What is a system of equations?

Back

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

Front

What is the graphical representation of a system of equations?

Back

The graphical representation is the intersection point(s) of the lines represented by the equations.