Review of Solving Systems of Linear Equations

The solution to the system is

• (-2, -8)

• (-8, -2)

• (2, -8)

• No solution

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.

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 of the following situations would result in infinitely many solutions to a system of linear equations?

• Identical Lines

• Parallel Lines

• Perpendicular Lines

• Intersecting Lines

Solve the below system by graphing: y=\frac{1}{2}x+7 -3x+2y=6

• (4, 9)

• (9, 4)

• Infinitely Many Solutions

• No Solution

• (4, 9)

• (9, 4)

• Infinitely Many Solutions

• No Solution

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.

• substitution

• elimination