Substitution Method

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 to find the values of both variables.

Front

What does it mean for two equations to intersect on a graph?

Back

It means that the two equations have a common solution, represented by the point where their graphs meet.

Front

Solve the system of equations by substitution: y = 2x + 3, y = -x + 1.

Back

(1, 5)

Front

What is the first step in using the substitution method?

Back

Isolate one variable in one of the equations.

Front

If y = 3x + 2, what is y when x = 4?

Back

y = 14.

Front

Solve the system of equations by substitution: x = 2y + 1, 3x - 2y = 12.

Back

(5, 2)

Front

What is a system of equations?

Back

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

Front

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

Back

Substitute the values of the variables back into the original equations to see if they hold true.

Front

Solve the system of equations by substitution: y = -x + 4, 2x + y = 10.

Back

(2, 2)

Front

What is the graphical representation of a system of equations?

Back

It is represented by the lines of the equations on a coordinate plane.