Solve Systems by Substitution

Front

What is a system of equations?

Back

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

Front

What does it mean to solve a system by substitution?

Back

It means to solve one equation for one variable and then substitute that expression into the other equation.

Front

How do you isolate a variable in an equation?

Back

You rearrange the equation to get the variable on one side and the constants on the other.

Front

What is the first step in solving the system by substitution?

Back

Choose one of the equations and solve for one variable in terms of the other.

Front

Given the equations 5x + 4y = -14 and y = -7x - 15, what is the first step to solve by substitution?

Back

Substitute -7x - 15 for y in the first equation.

Front

What is the solution to the system 3x + 2y = 8 and -x + y = -11?

Back

(6, -5)

Front

If y = -2x + 18 and y = 8, how do you find x?

Back

Set -2x + 18 equal to 8 and solve for x.

Front

What does the solution of a system of equations represent graphically?

Back

The point where the graphs of the equations intersect.

Front

What is the substitution method used for?

Back

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

Front

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

Back

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