Solving Linear Systems by Elimination Answers

[image 1] [image 2] Complete the second equation below so that the terms in the system align. [image 3] x+y=

Which equation results when you add the equations?

The solution to the system is (, ).

[image 1] [image 2] Which of the following shows the system with like terms aligned?

How can subtracting the equations help you solve the system?

The solution to the system is

).

[image 1] [image 2] You could produce a pair of like terms with opposite coefficients by multiplying the first equation by what number?

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, ✔ addsubtractmultiplysubstitute the equations.

The solution to the system is

).

[image 1] [image 2] How could you solve this system using elimination? Check all that apply.

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

The solution to the system is

).

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.

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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.