1. what is the value of the y variable in the solution to the following system of equations?
3x − 6y = 3
7x − 5y = −11

a. −2
b. −3
c. x can be any number as there are infinitely many solutions to the system.
d. there is no x value as there is no solution to the system

2. what is the value of the x variable in the solution to the following system of equations?
3x + y = 6
6x + 2y = 8

a. 0
b. 4
c. x can be any number as there are infinitely many solutions to the system.
d. there is no x value as there is no solution to the system.

3. what is the value of the x variable in the solution to the following system of equations?
4x + 2y = 6
x – y = 3

a. −1
b. 5
c. −2
d. 2

4. the three math idol judges have been eliminating contestants all day! the number of one-step equations and two-step equations who have been eliminated today is equal to 1120. if three times the number of one-step equations minus twice the number of two-step equations is equal to 1300, how many two-step equations auditioned today?

a. 1300
b. 1120
c. 708
d. 412

Part 1)

we have

------> equation A

------> equation B

Multiply by the equation A

------> equation C

Multiply by the equation B

-------> equation D

Adds equation C and equation D

therefore

the answer Part 1) is the option A

Part 2)

we have

------> equation A

Simplify Divide by both sides

------> equation B

the lines A and B are parallel lines, because the slope m is equal

so

The system has no solution

therefore

the answer Part 2) is the option D

There is no x value as there is no solution to the system.

Part 3)

we have

------> equation A

 ------> equation B

substitute equation B in equation A

therefore

the answer part 3) is the option D

Part 4)

Let

x---------> The number of one-step equations

y---------> The number of two-step equations

we know that

-------> equation A

------> equation B

substitute equation A in equation B

therefore

the answer part 4) is  the option D

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.

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step-by-step explanation:

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