Applying Systems of Linear Equations

Which two equations could you use to find the answer to the problem shown?:

At Elisa's Printing Company LLC there are two kinds of printing presses: Model A which can print 70 books per day and Model B which can print 55 books per day. The company owns 14 total printing presses and this allows them to print 905 books per day. How many of each type of press do they have?

At Elisa's Printing Company LLC there are two kinds of printing presses: Model A which can print 70 books per day and Model B which can print 55 books per day. The company owns 14 total printing presses and this allows them to print 905 books per day. How many of each type of press do they have? How many of the books are Model A?

• 9

• 5

• 6

• 11

You purchase 8 gallons of paint and 3 brushes for $152.50. The next day, you purchase 6 gallons of paint and 2 brushes for $113.

How much does one gallon of paint cost?

• $17.00

• $13.50

• $5.50

• $34

You purchase 8 gallons of paint and 3 brushes for $152.50. The next day, you purchase 6 gallons of paint and 2 brushes for $113.

How much does one brush cost?

• $17.00

• $13.50

• $5.50

• $34

Choose the two equations that can be used to solve this problem: Flying to Pittsburgh with a tailwind a plane averaged 145 mph. On the return trip the plane only averaged 123 mph while flying back into the same wind. Find the speed of the wind and the speed of the plane in still air.

Choose the two equations that can be used to solve the problem shown: The sum of twice a number and 4 times another number is 4. The difference of the numbers is 5. Find the numbers.

Choose the two numbers that fit the statements below:

The sum of twice a number and 4 times another number is 4. The difference of the numbers is 5. Find the numbers.

• 4

• -4

• 1

• -1

Solving systems of equations: Solve the system of equations: 2x + y = 7 and x - y = 1

• x = 4, y = 2

• x = 1, y = 3

• x = 3, y = 4

• x = 2, y = 5

Solving systems of equations: Solve the system of equations: 3x - 2y = 8 and 4x + y = 10

• x = 5, y = 1

• x = 2, y = 2

• x = 3, y = 4

• x = 0, y = 10

Solving systems of equations: Solve the system of equations: 2x + 3y = 12 and 4x - y = 5

• x = 2, y = 4

• x = 5, y = 1

• x = 3, y = 2

• x = 6, y = 3