Solving Systems of Linear Equations by Substitution

What is a system of equations?

• A set of equations with the same variables

• A single equation with multiple solutions

• A graph with no intersections

• A set of equations with different variables

How can the solution to a system of equations be found using graphing?

• By drawing parallel lines

• By identifying the intersection point of the lines

• By finding the midpoint of the lines

• By calculating the slope of the lines

In the substitution method, what is the first step when given y = 2x and 2x + 2y = 24?

• Solve for x in the first equation

• Substitute y = 2x into the second equation

• Add the equations together

• Graph both equations

What is the value of x when solving the system where y = 2x and 2x + 2y = 24?

• x = 6

• x = 8

• x = 4

• x = 2

What should you do after finding the values of x and y in a system of equations?

• Solve for a different variable

• Multiply the solution by a constant

• Graph the solution

• Check the solution by substituting back into the original equations

What happens if you substitute an expression back into the equation it came from?

• You solve for a different variable

• You eliminate one of the variables

• You find a new solution

• You get an identity that provides no new information

Why is it important to substitute into the other equation in a system?

• To eliminate variables

• To verify the identity

• To ensure the solution satisfies both equations

• To simplify the equation