System of Equations--Substitution

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

What does 'substitution' mean in the context of solving equations?

Back

Substitution is the method of replacing a variable in one equation with an expression from another equation.

Front

Solve the system: y = 4x + 9 and y = 5x + 10.

Back

(-1, 5)

Front

What is the first step in the substitution method?

Back

Solve one of the equations for one variable.

Front

What does 'solution to a system of equations' mean?

Back

It's the point that solves both equations at the same time.

Front

Solve the system: y = 7x + 9 and 2y + 2x = -14.

Back

(-2, -5)

Front

What is the purpose of substitution in solving systems of equations?

Back

To find the values of the variables that satisfy all equations in the system.

Front

What is the second step in the substitution method?

Back

Substitute the expression into the other equation.

Front

What is an example of a system of equations?

Back

y = 2x + 3 and y = -x + 1.

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.