WorksheetsSOLVING SYSTEMS USING SUBSTITUTION
Total questions: 14
Worksheet time: 1hrs 6mins
Solve the following systems of equations using substitution:
5x - 2y = 3
y = 2x
(6, 3)
(1, 2)
(3, 6)
(2, 1)
Solve the following systems of equations using substitution:
y = 3 - x
3y + x = 5
No solution
(1, 2)
(3, 0)
(2, 1)
Solve the system of equations.
(-6, 1)
(-12, -12)
(1, -6)
No solution
Infinite solutions
y=8x+1
y=6x+3
2x + 3y = 4
y= 5x - 27
Solve this system using substitution
y = 3x - 5
2x + 4y = -6
(1, -2)
(2, -2)
(1, 2)
Why have you done this?
y = 4x - 3
y = 2x + 13
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)
A young group with 26 members is going to the National Museum. There will also be 5 teachers that will each drive a van or a car. Each van seats 7 people, including the driver. Each car seats 5 people, including the driver. How many cars and vans will be needed?
2 vans and 3 cars
2 cars and 3 vans
3 cars and 3 vans
1 van and 4 cars
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.
x+y=250, y=x−420; 335 acres of orange trees and 85 acres of lemon trees.
x−y=420, x=y+250; 85 acres of orange trees and 335 acres of lemon trees.
x+y=420, y=x+250; 335 acres of orange trees and 85 acres of lemon trees.
