All categories

2 years ago

Solve for y. 6 x + 2y = z

Mathematics

2 answers:

timofeeve [1]2 years ago

6 0

Answer:

$y = \frac{z}{2} -3x$

Step-by-step explanation:

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS =

Parenthesis

Exponents & roots

Multiplication

Division

Addition

Subtraction

& is the order of operation.

First, subtract 6x from both sides:

6x (-6x) + 2y = z (-6x)

2y = z - 6x

Next, divide 2 from both sides:

(2y)/2 = (z - 6x)/2

y = (z - 6x)/2

y = (z/2) - 3x

$y = \frac{z}{2} -3x$ is your answer.

vaieri [72.5K]2 years ago

5 0

The answer to this question is 7

You might be interested in

A set of 9 numbers has a mean of 20. What additional number must be included in this set to create a new set with a mean that is

PIT_PIT [208]

<em>Greetings from Brasil...</em>

The average for a set of 9 elements will be

(A + B + C + D + E + F + G + H + I) ÷ 9 = 20

Let's make (A + B + C + D + E + F + G + H + I) like S

<em>(I chose S to remember a sum)</em>

Let us think.....

S ÷ 9 = 20

S = 20 × 9

S = 180

So, (A + B + C + D + E + F + G + H + I) = 180

According to the statement, we will include a number (element J) in the sum to obtain a mean of (20 - 4), that is:

as seen above, (A + B + C + D + E + F + G + H + I) = 180, then

(180 + J) ÷ 10 = 16

(180 + J) = 160

J = 160 - 180

So, including the number - 20 <em>(minus 20)</em> in the original mean we will obtain a new mean whose result will be 16

3 0

2 years ago

What is the value of x?

WINSTONCH [101]

Answer:

$\large\boxed{x=8\sqrt2}$

Step-by-step explanation:

$\bold{METHOD\ 1}\\\\\text{Use the Pythagorean theorem:}\\\\leg^2+leg^2=hypotenuse^2\\\\\text{We have}\ leg=8,\ leg=8,\ hypotenuse=x.\\\text{Substitute:}\\\\x^2=8^2+8^2\\\\x^2=2(8^2)\to x=\sqrt{2(8^2)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\x=\sqrt2\cdot\sqrt{8^2}\qquad\text{use}\ \sqrt{a^2}=a\\\\x=8\sqrt2$