Substitution Method
Solve the system of equations below.
y = 3x - 6
y = -x + 2
(2,0)
Solve the system of equations below.
y = 2x + 3
4x + 2y = -2
(-1,1)
What is the value of x in the solution of the system of equations below?
3x + 2y = 12
5x - 2y = 4
x = 2
What is the solution to this system of equations?
2x+5y=-20
-6x+6y=18
(-5,-2)
Solve the system of equations below.
x+y=0
5x+4y=8
(8,-8)
Solve the system of equations below.
y = 4x - 3
y = 2x + 3
(3,9)
Solve the system of equations below.
x-3y=-21
7x+4y=-22
(-6,5)
What is the solution of the system of equations below?
2x - 5y = 11
-2x + 3y = -9
(3, -1)
What is the solution to this system of equations?
20x-5y=0
-10x-2y=0
(0,0)
Solve the system of equations below.
y = 5x - 7
-3x - 2y = -12
(2, 3)
Solve the system of equations below.
y = -3x+10
-2x-2y=0
(5,-5)
Solve the system of equations below.
x = -4y - 2
3x + 7y = 9
(10, -3)
What is the solution of the system of equations below?
-4x-2y=-12
4x+8y=-24
(6, -6)
Solve this system of equations
9x-9y=0
18x+10y=-28
(-1,-1)
What is the value of y in the solution of the system of equations below?
-6x+5y=1
6x+4y=-10
y=-1
Solve the system of equations below.
y=-5x+16
3x+8y=17
(3,1)
Solve the system of equations below.
3x + 5y = 41
y = 4x - 1
(2,7)
Solve this system of equations
-2x+4y=12
2x+y=18
(6,6)
Solve this system of equations.
-4x+10y=-18
9x-9y=0
(-3,-3)
Solve this system of equations
-9x+5y=15
-2x-6y=-18
(0,3)
Chelsea and Stefan each improved their yards by planting rose bushes and ornamental grass. They bought their supplies from the same store. Chelsea spent $75 on 10 rose bushes and5bunches of ornamental grass. Stefan spent $68 on 3 rose bushes and 8 bunches of ornamental grass. Find the cost of one rose bush and the cost of one bunch of ornamental grass.
Rose Bush: $4
Bunch of ornamental grass: $7
The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 11 vans and 4 buses with 235 students. High School B rented and filled11vansand 3 buses with 201 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus.
Van:9
Bus:34
The school that Jaidee goes to is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 4 adult tickets and 11 child tickets for a total of $191. The school took in $63 on the second day by selling 2 adult tickets and 3 child tickets. Find the price of an adult ticket and the price of a child ticket.
Child Ticket: $13
Huong and Stefan are selling pies for a school fundraiser. Customers can buy blueberry pies and pumpkin pies. Huong sold 6 blueberry pies and 11 pumpkin pies for a total of $190. Stefansold12 blueberry pies and 9 pumpkin pies for a total of $198. What is the cost each of one blueberry pie and one pumpkin pie?
Blueberry pie: $6
Pumpkin pie: $14
The senior classes at High School A and High School B planned separate trips to the county fair. The senior class at High School A rented and filled 13 vans and 2 buses with 241 students. High School B rented and filled 6 vans and 9 buses with 402 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?
Van:13
Bus:36