A student is trying to solve the set of two equations given below:Equation A: x + z = 6
Equation B: 3x + 2z = 1

Which of the following is a possible step used in eliminating the z-term?
Multiply equation A by −2.
Multiply equation B by 2.
Multiply equation A by 3.
Multiply equation B by 3.


Answer 1
Answer: a possible step used in eliminating the z-term is "multiply equation A by −2."

x + z = 6
3x + 2z = 1

x + z = 6 / *(-2)
3x + 2z = 1

-2x - 2z = -12
3x+ 2z = 1

-2x + 3x -2z +2z = -12 +1
x = -11

-11 + z = 6
z = 6 + 11
z = 17
Answer 2

Answer:Multiply equation A by -2 is correct everyone

Step-by-step explanation:

I just took the test and checked;)

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I’m slow , can i get help on this asap please ?

which of the following could be the first step in solving the equation below?5^x=21a. 1/5×5^x=1/5×21b. log5^x=log21c. log5^x=21d. sqrt[5]{ {5}^{x} } = sqrt[5]{21}



\log _{}5^x\text{ = log21}


We want to find the very first step in solving the problem below:

5^x\text{ = 21}

If we wanted to jump steps, we could just state that the equation would become:

\log _521\text{ = x}

But that would be jumping a lot of steps and it is not among the options.

So, the very first step in solving this problem is to find the logarithm of both sides.

That is:

\log 5^x\text{ = log21}

That is the answer. (Option B)

1.994 x 10^-23 1.67 x 10^-24 what are the difference



1.827 x 10^-23

Step-by-step explanation:

(1.994 x 10^-23) - (1.67 x 10^-24) = 1.827 x 10^-23

A tank contains 22 gallons of water when all of a sudden the water begins draining at a constant rate of 2 gallons per hour. Let t represent the number of hours since the water begun draining and let v represent the volume of water in the tank. Write a formula that expresses y in terms of t .



V= 22-2t

Step-by-step explanation:

I guess the alphabet should be v instead of y. So I am working using v

The rate at which water is draining from the tank is 2gallons/hour. This is the rate of water removal from the tank. So after an hour, 2 × 1= 2 gallons would have drained. After 5 hours, 2×5 =10 gallons would have drained

Therefore to obtain the amount of water in gallons that have been removed from the tank, you will multiply the rate by the time in hours after which the draining started.

Amount (gallons) =2×t

The amount of water remaining in the tank will be obtained by subtracting the amount of water drained after some hour (2×t) from the initial amount of water in the tank (22)

Therefore, the amount of water present in the tank (v)= 22-2t or 2(11-t) gallons

Final answer:

The formula to express volume of the water v in terms of time t is v = 22 - 2t, where 22 is the initial volume and 2t represents the rate at which the water is draining.


This problem is a mathematical representation of a real-world scenario using a linear equation. The volume of water v in the tank can be represented in terms of time t through the equation v = 22 - 2t. This equation illustrates the initial volume of water in the tank (22 gallons) and accounts for the constant rate at which the water is draining (2 gallons per hour).

When time t = 0 (meaning no time has passed since the water started draining), the volume of water v = 22 (the initial volume). As time increases, the volume gradually decreases at a rate of 2 gallons per hour, represented by the term -2t.

Learn more about Linear Equation here:



What is value of 4 in 546 210


Answer is 10,000

Converting  the number into expanded form which will give you 10,000.



Step-by-step explanation:

Which expression is the result of factoring the expression below by taking out its greatest common factor? 8x^2-24=\,?8x 2 −24=?8, x, squared, minus, 24, equals, question mark Choose 1 answer: Choose 1 answer:


8x² - 24 can be written in factorized form as  8 (x² - 3).

Step-by-step explanation:

Given expression is

8x² - 24

It can be factorized by taking the common factors as,

Since 8 is the common factor for both the terms and the expression can be written as,

8x² - 24

It can be expanded as,

= 8x² - 8×3

Now both the terms has 8, so it can be taken out and the expression can be written as,

= 8 (x² - 3)

So it can be written in factorized form as  8 (x² - 3).


carmen winsted

Step-by-step explanation:

What is the slope of the line?




Step-by-step explanation:

Choose two points from the graph; count how far one point is away from the other. Simplify if needed.