Solving Systems by Substitution [easy]

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 of equations by substitution?

Back

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

Front

If x = 3, what is the value of y in the equation y = 4x?

Back

y = 12.

Front

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

Back

(-8, -3).

Front

How do you find the intersection of two lines?

Back

Set the equations equal to each other and solve for the variable.

Front

What does it mean if a system of equations has no solution?

Back

It means the lines are parallel and never intersect.

Front

What is the solution to the system: x = -5 and y = x - 9?

Back

(-5, -14).

Front

What is the solution to the system: y = 7 and y = x + 2?

Back

(5, 7).

Front

What is the first step in solving a system of equations by substitution?

Back

Solve one of the equations for one variable.

Front

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

Back

(3, 12).