Solve Systems by Substitution

Front

What is the first step in solving a system by Substitution?

Back

Make sure at least one equation is solved for one variable.

Front

Solve for x and y: 3x + 2y = 16 and 7x + y = 19

Back

(2, 5)

Front

Solve the system by substitution: 5x + 4y = -14 and y = -7x - 15

Back

(-2, -1)

Front

Solve the system: y = -6x + 5 and -2x + y = 5

Back

(0, 5)

Front

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

Back

(-1, 4)

Front

What does it mean to solve a system of equations by substitution?

Back

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

Front

What is the substitution method used for?

Back

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

Front

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

Back

y = 7.

Front

What is the solution to the system: 2x + 3y = 6 and y = 2 - x?

Back

(0, 2)

Front

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

Back

Substitute the values back into both original equations.