Find the solution
Solve the system
y = x
y = -x
Solution is (0, 0)
Suppose you spent $1500 in equipment to put pictures on T-shirts. You buy each T-shirt for $3. The equation for the revenue you will make from selling the shirts is -9x + 3y = 4500. What is the point at which you will break even?.
What is, you will never break even because the cost and revenue are exactly the same. This is an example of infinite solutions
The solution to the system
x + y = 2
y = 3
What is (-1, 3)
The solution to the system
x + 5y = 12
-x +y = 0
What is (2, 2)
Graph the lines to find the solution to the system
y = -3/2x - 4
y = 1/2x + 4
What is (-4, 2)
Solve the system
y = 3x - 4
y = -3x + 2
What is (1, -1)
Candy bars are sold in a local store for 50 cents each. The factory has $1000 in fixed costs plus 10 cents of addtional expense for each candy bar made. How many candybars must be sold to break-even?
What is after you have sold 2500 candy bars and made $1250.
The solution to the system
y = 6x - 11
-2x - 3y = -7
What is (2, 1)
Use elimination to solve the system
-4x - 2y = -12
4x + 8y = -24
What is (6, -6)
Graph the equations to find the solution to the system
y = 5/4x -2
y + 1 = 5/4x
What is no solution.
Solve the system
y = 1/3x + 2
y = -x - 2
What is (-3, 1)
Harold had a summer lemonade stand where he sold small cups of lemonade for $1.25 and large cups for $2.50. If Harold sold a total of 155 cups of lemonade and collected a total of $265, how many cups of each type did he sell?
What is 98 small cups and 57 large cups of lemonade?
Use substitution to solve the following system:
Alyssa has $75 less than 3 times Eric. Together they have $905. How much money do they each have?
What is a= 3e -75
a + e = 905
Eric has $245
Alyssa has $660
Use elimination to solve the system
5x + y = 9
10x - 7y = -18
What is (1, 4)
Is (4,5) the solution to the following system? If not, what is the solution?
4x - y = 12
x + 6y = 13
What is no. (-5.6, -1.6)
The sum of two numbers is 75. The second number is 3 less than twice the first. Write the two linear equations then find the solution
What is x + y = 75; y = 2x - 3
The x is 26.
The y is 49
Phil bought 6 new video games and 2 used video games for $127.92. At the same prices, Mackenzie bought 3 new video games and 8 used video games for $133.89. Find the cost of buying a single used video game.
What is $9.99.
Kaija has $84 more than Lewie. Together they have $458. How much do they each have? Use substitution to solve the system.
What is Lewie has $187 and Kaija has $271.
Use elimination to solve the system
The Odyssey Rocket Team charges $5 for adults and $2 for children. Last night they made $546 and sold 183 tickets. How many adult and childrens tickets did they sell?
What is 60 adult tickets and 123 children's tickets
Use a table to find the solution for th following system:
y = x + 4 and y = -2x + 1.
x = {-3, -1, 0, 1, 3}
What is (-1, 3)
The larger of two numbers is 8 more than four times the smaller. If the larger is increased by four times the smaller, the result is 40. Write the two linear equation then find the larger and smaller numbers.
What is: L= 4s + 8; L + 4s = 40
The smaller number is 4
The larger number is 24
Is the correct discription for the following system No solution? If not, what is the correct solution?
y = 3x + 4
y = -x - 4
What is infinite solutions
The length of a rectangle is 5 more than the width. The perimeter is 120 in. What is the length? What is the width? What is the area?
Use substitution to solve the system.
What is Length is 32.5 in and width is 27.5 in
Area is:
893.75 in^2
Use elimination to solve the following system:
You are counting the cash register at the end of the night. You have $1015 in $5 bills and $10 bills. If you have 138 bills all together, how many of each type for you have?
What is 73 $5 bills and 65 $10 bills
Daily Double
The length of a rectangle is equal to 5 less than four times the width. If the perimeter is 90 centimeters, what is the length and width of the rectangle.
What is 10 cm and what is 35cm.