Solve by Graphing
Solve the system using the graphing method.
y = x + 2
y = 4x - 1
PS. I need to see the graph for credit.
What is...
(1,3)
Solve the system using the substitution method.
y = 5x - 2
4x + 8y = 6
What is...
(1/2 , 1/2)
Solve the system using the elimination method.
4x + 8y = 20
-4x + 2y = -30
What is...
(7,-1)
Determine if the point (4,-3) is a solution to the following system.
x - y = 4
2x + y = 5
What is...
No it is not a solution
Lizzy has 30 coins that have a total of $4.80. All of her coins are dimes (d), and quarters (q). Which system of equations models this situation?
a. d + q = 4.80 and .10d + .25q = 30
b. d + q = 30 and .10d + .25q = 4.80
c. d + q = 30 and .25d + .10q = 4.80
d. d + q = 4.80 and .25d + .10q = 30
What is...
B: d + q = 30 and .10d + .25q = 4.80
Solve the system using the graphing method.
y = 2x + 4
2y = 4x + 8
PS. I need to see the graph for credit.
What is...
Infinite solutions
Solve the system using the substitution method.
-3x - 8y = 20
-5x + y = 19
What is....
(-4, -1)
Solve the system using the elimination method.
2x + 8y = 6
-5x - 20y = -15
What is...
Infinite solutions
Without solving the system, determine whether the following systems have one solution, no solution or infinite solutions.
-8x + 2y = -16
4x - y = 10
What is...
No solution because they have the same slope but different y - intercept. The lines would be parallel and will never intersect
Last week, a candle store received $355.60 for selling 20 candles. Small candles sell for $10.98 and large candles sell for $27.98. How many large candles did the store sell?
a. 6
b. 8
c. 10
d. 12
What is...
B: 8
Solve the system using the graphing method.
y = 2x + 2
y = 2x - 6
PS. I need to see the graph for credit.
What is...
No solution
Solve the system using the substitution method.
-2x - y = -9
5x - 2y = 18
What is...
(4,1)
What is the value of x in the solution of the system of equations?
3x + 2y = 12
5x - 2y = 4
What is...
x = 2
When a system of equations intersect, it means there is _____ solution.
What is...
One solution
Mo's farm stand sold a total of 165 pounds of apples and peaches. She sold apples for $1.75 per pound and peaches for $2.50 per pound. If she made $337.50, how many pounds of peaches did she sell?
a. 11
b. 18
c. 65
d. 100
What is...
C. 65 pounds of peaches
Solve the system using the graphing method.
4x - 2y = 10
y = -2x -1
PS. I need to see the graph for credit.
What is...
(1,-3)
Solve the system using the substitution method.
-3x + 3y = 4
-x + y = 3
What is...
No solution
Your friend solves the system. Is your friend correct? Explain
4x + 4y = 12
2x - 4y = 24
The solution is (-6,-9)
What is...
No, the friend is not correct because they subtracted 4x-2x and 12-24 when they should have added them.
The correct solution should be (6,-3)
When a system of equations are identical, then there will be _____ solutions
What is...
Infinite
Matt and Ming are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Matt sold 3 small boxes of oranges and 14 large boxes of oranges for a total of $203. Ming sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220. Find the cost each of one small box of oranges and one large box of oranges. State your answer in words.
What is...
The cost of one small box of oranges is 7 dollars, and the cost of one large box of oranges is 13 dollars.
Solve the system using the graphing method.
y = 1/2x - 1
y = -x + 2
PS. I need to see the graph for credit.
What is...
(2,0)
The gym has a total of 25 treadmills and stationary bikes. There are 7 more stationary bikes than treadmills.
Write a system of linear equations that represent this situation. Then, answer in words how many treadmills and stationary bikes are in the gym.
What is...
x + y = 25
y = x + 7
There are 9 treadmills and 16 stationary bikes in the gym
Solve the system using the elimination method.
-3x + 7y = -16
-9x + 5y = 16
What is...
(-4,-4)
A system of equations is shown below
A) 5x + 9y = 12
B) 4x - 3y = 8
Which method eliminates one of the variables?
a. Multiply equation A by 1/3 and add the result to equation B.
b. Multiply equation B by 3 and add the result to equation A.
c. Multiply equation A by 2 and equation B by -6 and then add the results together.
d. Multiply equation B by 5 and equation A by 4 and add the result together.
What is...
B: Multiply equation B by 3 and add the result to equation A.
Brenda's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75. The school took in $67 on the second day by selling 8 senior citizen tickets and 5 child tickets. What is the price each of one senior citizen ticket and one child ticket?
What is...
A senior citizen ticket costs $4, and a child ticket costs $7