Solving Linear Systems by Elimination Assignment

Solution to the system is ( , )

(4, -5)

3x + 6y = -18 2y= 3x - 22 Complete the second equation below so that the terms in the system align. 3x+ 6y= -18

-3, 2, -22

Which of the following shows the system with like terms aligned?

-4x + 0.4y = -0.8 6x + 0.4y = 4.2

It takes a printer 2 1/2 min to print 24 black-and-white pages and 4 color pages. It takes the same printer 3 1/4 min to print 30 black-and-white pages and 6 color pages. Let b represent the time in minutes needed to print a black-and-white page and c represent the time in minutes needed to print a color page. The shown system represents the given problem. 24b + 4c = 2 1/2 30b + 6c = 3 1/4 Solve the system to complete the statement. It takes the printer ________ min to print a black-and-white page and ________ min to print a color page.

1/12 1/8

Which equation results when you add the equations?

B) 8y =-40

-2x + 5y =-15 5x + 2y = -6 How could you solve this system using elimination? Check all that apply.

B) Multiply the first equation by 5 and the second equation by 2, then add . C) Multiply the first equation by 2 and the second equation by 5, then subtract.

1/2x + 3/2y = -7 -3x + 2y = -2 You could produce a pair of like terms with opposite coefficients by multiplying the first equation by what number?

C) 6

The solution to the system is ( , )

( 0.5 , 3 )

The solution to the system is ( , )

( -2 , -4 )

The solution to the system is ( , )

( 0, -3)

How can subtracting the equations help you solve the system?

It eliminates the y-terms.

6x - 2y = 28x + 3y = 14Explain how knowing how to find the least common multiple (LCM) of two numbers can help you solve the system of equations presented here by eliminating the x-terms.

The LCM of 6 and 8 is 24. Knowing this, multiply the first equation by 4 and the second by −3 to get opposite coefficients. Then, add the equations to eliminate x.

If you multiply the first equation by 6, the following system is the result.3x + 9y = -42-3x + 2y = -2To solve this system by elimination, __________ the equations.

add

How many solutions does the system have?

exactly one