Solving Systems of Equations by Substitution (PRACTICE)

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 it mean to solve a system of equations by substitution?

Back

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

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

If y = 3x + 14 and y = -4x, what is the solution?

Back

(-2, 8)

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

What is the substitution method used for?

Back

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

Front

In a problem involving animals, if there are 28 animals and 80 legs, how many horses and chickens are there?

Back

12 horses and 16 chickens.

Front

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

Back

(2, 5)

Front

What is the solution to the system: 5x + 3y = 7 and y = 4?

Back

(-1, 4)

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.