Linear Equations by Elimination

You and your friend are buying throw blankets with your names embroidered on them. The cost of the throw blanket is x dollars and the cost of each embroidered letter is y dollars. Your name has 6 letters and the total cost is $29. Your friend's name has 3 letters and the total cost is $24.50. Which system can you use to solve this problem?

Solve this system of equation

-8x + y = 1

-6x + y = 3

• (1, 9)

• (4, 14)

• (0, 1)

• (2, 4)

What is the best first step to solve this system by elimination?

• Add the equations to eliminate y

• Multiply the first equation by 2

• Multiply the second equation by 3

• Add the equations to eliminate x

What is the best first step to solve this system by elimination?

• Add the equations to eliminate y

• Multiply the first equation by 2

• Add the equations to eliminate x

What is the best first step to solve this system by elimination?

• Add the equations to eliminate y

• Multiply the first equation by 2

• Multiply the second equation by 2

• Add the equations to eliminate x

Solve the system by the elimination method.

Solve the system by the elimination method.

Solve the system by the elimination method.

The sum of two numbers is 22. The difference of two numbers is 6. Which system can be used to solve this problem?

What is the first step in solving a system of linear equations using the elimination method?

• Divide the variables by the same number

• Align the variables by making the coefficients the same

• Ignore one of the variables

• Substitute the variables with random values