Solving a System of Equations Using Substitution

What is the value of the y-coordinate of the solution to the system of equations 
x-2y=1
x+4y=7 

• 1

• -1

• 3

• 4

• (4, 1)

• (1, 4)

• (-2, 0)

• No solution.

• (2, 0)

• (-2, 8)

• Infinitely many solutions. 

• (8, -12)

• No solution

• (1, -1)

• (-1, -5)

• Infinitely many solutions

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines

• the same line 

• Intersecting lines

What is the first step in the substitution method?

• Step 2

• find the equation that is solved for the single variable

• substitute the expression into the other equation

Identify the type of solution for the following system of equations.

• No solution.

• One solution.

• Infinitely many solutions.

• Two solutions.

Solve the following systems of equations using substitution:

2y + x = -15

x = 3y

• (-3,-9)

• (-9,-3)

• (-3,9)

• (9,-3)

What is the final step to solve a system with substitution?

• Substitute the values found from the previous step into one of the original equations and solve for the remaining variable

• Solve the linear system for both its variables

• Solve one equation for one of its variables

• Solve one equation for one of its variables

Solve the system by using the substitution method

• (3,6)

• (6,3)

• (1,4)

• (4,1)