Systems of Linear and Nonlinear Equations

Solve:

-4x² + 5y² -69y -58 = 0

x + 3y + 1 = 0

• (2, -1), (5, 2)

• (2, -1), (5, -2)

• (5, 2)

• No Solution

Solve the system. Choose ALL solutions.

• (3, 6)

• No solutions

• (-3, 8)

The difference of the squares of two numbers is 35. The sum of the numbers is −1. Write and solve a system of equations to find the numbers. Select BOTH numbers below.

• -18

• 17

• -17

• 12

• -8

• A

• B

• C

• D

Identify the solution to the system graphed here.

• (0, 4) and (0, -2)

• (2, -2)

• (0 4)

• No solution

What are the solutions to the system:
y = x² + 3x - 5
y = x + 3

• (-4, 2) and (-1, 5)

• (-4, -1) and (2, 5)

• (2, -1 and (-4, 5)

• (-4, 1) and (2, -1)

Determine the number of solutions to the given linear-quadratic system.

• 0 solutions

• 1 solution

• 2 solutions

• 3 solutions

What is the solution to this system?
y = 2x + 1
y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Given the system of equations: y = x² + 3x - 5 -x + y = 3 When x = -4, what is the value of y?

• -1

• 1

• 7

• -33

Solve the system of equations.

Use scrap paper/dry erase to work this out

      x + 5y = -27

-2x - 5y = 24

• (3, 6)

• (-3, -6)

• (-3, -4)

• (3, -6)