Solving Systems

Solve the following systems of equations using substitution:

2y + x = -15

x = 3y

• (-3, -9)

• (-9, -3)

• (-3, 9)

• (9, -3)

Find the solution of the system of equations below using the substitution method:

y = 2x - 4

7x - 2y = 5

• (-1, -6)

• (-1, -8)

• (-2, 6)

• (1, -8),

• No Solution

• (2, 2)

• (-1, 2)

• (-1, -2)

What is the solution to this system?
2x + 3y = 4
y= 5x - 27

• (5,-2)

• (5, 2)

• (2,3)

• (3,2)

A rectangle is 3 times longer than it is wide. The perimeter is 44 cm. Write a system of equations and find the dimensions of the rectangle

• L + W = 44, 3W = L; 5cm by 16cm.

• 2L - 2W = 44, 3W = L; 5.5cm by 16.5 cm.

• L + 3W = 44, 3W = L; 5 cm by 16 cm.

• 2L + 2W = 44, 3W = L; 5.5cm by 16.5 cm.

Write and solve the system of equations. Simon grows only orange trees and lemon trees on her 420-acre farm. This year he wants to plant 250 more acres of lemon trees than of orange trees. How many acres of each crop does Simon need to plant? let x= orange tree and y= lemon tree.

What is the solution of the graph.

• One Solution ( 1,2)

• One Solution (-1,0)

• No Solution

• Infinitely Many Solutions

Solve the following system by using elimination:

-2x - 5y = -15

x + 8y = 13

• (5, 1)

• (1, 5)

• (5, -1)

Solve the following system by using elimination:

3x - 5y = 8

2x + 5y = -3

• (1, 5)

• (1, -1)

• (-1, -1)

Solve the following system by using elimination:

-14x - 10y = -18

7x + 9y = -23

• (7, 8)

• (8, -7)

• (7, -8)