Solving Linear Systems by Elimination

Question 1

How could you solve this system using elimination? Check all that apply.

Revolt · Accepted Answer

Multiply the first equation by 5 and the second equation by 2, then add.; Multiply the first equation by 2 and the second equation by 5, then subtract.

Question 2

How many solutions does the system have?none✔ exactly oneinfinitely many

Revolt · Accepted Answer

✔ exactly one

Question 3

The solution to the system is

Revolt · Accepted Answer

0; -3

Question 4

).

Revolt · Accepted Answer

-3

Question 5

It takes a printer 212 min to print 24 black-and-white pages and 4 color pages. It takes the same printer 314 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.

Revolt · Accepted Answer

1/8

Question 6

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.

Revolt · Accepted Answer

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.

Question 7

The solution to the system is

Revolt · Accepted Answer

0; "-3"

Solving Linear Systems by Elimination Answers

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