Solve Systems of Equations by Graphing, Elimination and Substitution

• (4, 9)

• (9, 4)

• Infinitely Many Solutions

• No Solution

Two numbers have a sum of 217 and a difference of 85. What is the larger of the two numbers?

Two numbers have a sum of 217 and a difference of 85. What is the smaller of the two numbers?

Select the best option below for solving this system of equations using elimination.

• Multiply the first equation by -1.

• Multiply the first equation by -2.

• Solve the second equation for y, then substitute that expression in for y in the other equation.

• No changes are necessary - this system is perfectly setup for elimination.

You decide to solve the below system of equations using elimination and first want to eliminate the x variable. Which option below would be the best first step? -4x+9y=-17 3x-4y=10

• Multiply the first equation by 4 and the second equation by 9.

• Multiply the first equation by -3 and the second equation by 4.

• Multiply the first equation by 3 and the second equation by -4.

• Multiply the first equation by 3 and the second equation by 4.

The below system of equations is setup nicely to use the _____ method.

• substitution

• elimination

Which answer below shows the first step in solving the below system of equations using substitution?

Which of the following situations would result in no solution to a system of linear equations?

• Identical Lines

• Parallel Lines

• Perpendicular Lines

• Intersecting Lines

Which method would be best (quickest) for solving the system below:
x + y = 11
3x - 4y = -2

• Substitution

• Elimination

• Graphing

• None of these

Solve the system:
x + 6y = 17
x - 3y = 8

• (5, 2)

• (11, 1)

• (1, 11)

• no solution