What is the solution to the system?
(1, -1)
Joey has to solve the system of equations using substitution. He has completed the work shown. What should be his next step?
Janiah is solving the system using elimination. Her first step is shown. What should be her next step?
Ivy and Cammie sold tulip and daffodil bulb packages for their spring fundraiser. Ivy sold 12 packages of tulip bulbs (x) and 14 packages of daffodil bulbs (y) for a total of $180.00. Cammie sold 9 packages of tulip bulbs and 16 packages of daffodil bulbs for a total of $168. Write a system of linear equations can be used to find the price per package for each of the two kinds of bulbs?
12x + 14y = 180
9x + 16y = 168
Jillian is solving the system of equations using elimination. Her work is shown. What should be her next step.
Plug it in to solve for y
Given that the the graph represents a system of equations on a coordinate plane, how many solutions does the system have?
One Solution
The two lines given by the equations intersect in the xy-plane. What is the value of the y-coordinate of the point of intersection?
3x − 2y = 15
x = 3
-3
To solve this system of equations by addition, what could you multiply each equation by to cancel out the x-variable?
A: 5x − 2y = 10
B: 4x + 3y = 7
A: 4
B: -5
or
A:-4
B: -5
Anna is selling tickets to the school's gymnastics competition. On the first day, she sells 5 adult tickets and 6 child tickets for a total of $58.00. On the second day, she sells 8 adult tickets and 11 child tickets for a total of $97.00. Write a system of linear equations can be used to determine the cost of each adult ticket (x) and each child ticket (y)?
5x + 6y = 58
8x + 11y = 97
What method would be best to solve this system of equations.
3x + 4y = 14
x = 2y - 12
Substitution
Given that the the graph represents a system of equations on a coordinate plane, how many solutions does the system have?
No solution
Solve the system of equations using substitution.
y = x + 2
2x - y = -4
(-2, 0)
Heather has to solve this system of equations using elimination. What should be her first step?
Multiply the second equation by -3
At a sale, Salazar bought 4 t-shirts and 2 pairs of jeans for $160. At the same store, Jenna bought 1 t-shirt and 3 pairs of jeans for $140. The t-shirts were the same price, and the jeans were all the same price. Write a system of equations that can be used to represent this situation.
4x+2y=160
x+3y=140
What is the solution of the system?
(-3,12)
The graph represents the rate of two machines that fill water barrels. One machine has already filled 30 water barrels before the faster machine starts. According to the graph, about how many minutes will pass before the two machines have filled about the same number of barrels?
5 minutes
What is the solution of the following system of equation?
y = 6x – 1
y = 6x + 1
no solution
Solve the system of linear equations using elimination.
−9x − 10y = 17
−10x − 10y = 10
(7, -8)
Find the two numbers whose sum is 26 and whose difference is 12.
19 and 7
What point represents the solution to the system?
R
The graph represents the rate of two machines that fill water barrels. One machine has already filled 30 water barrels before the faster machine starts. According to the graph, the two machines will have filled a certain number of water barrels at about the same time. What is that number of barrels?
50 Barrels
Solve the system.
x = 2
3x + y = 5
(2, -1)
What would you do to solve this system of equations by elimination?
3x - y = 7
6x - y = 10
Subtract
Gina bought 5 hot dogs and 3 soft drinks at the ball game for $11.50. Renaldo bought 4 hot dogs and 2 soft drinks for $8.50. How much does a single hot dog and a single drink cost?
Hot Dog:1.25
Soft Drink: 1.75
Compare the slopes and y-intercepts for the equations in this system of equations. How many solutions does this system of equations have?
y=1/3x-1
y=1/3x
no solution