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3 years ago

Make y the subject of the equation 2A=x(2y+z)

Mathematics

2 answers:

QveST [7]3 years ago

8 0

2A = 2xy + xz

2A - xz = 2xy + xz - xz

2A - xz = 2xy

( 2A - xz ) ÷ 2x = 2xy ÷ 2x

A/x - z/2 = y

frez [133]3 years ago

3 0

Hi there!

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I believe your answer is:

$y = \frac{2A-xz}{2x}; x \neq 0$

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Here’s why:

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$2A = x(2y+z)\\\\\rightarrow x(2y+z)=2A\\\\\rightarrow\frac{x(2y+z)=2A}{x}\\\\\rightarrow 2y + z = \frac{2A}{x}\\\\\rightarrow 2y + z - z = \frac{2A}{x}-z\\\\\rightarrow 2y = \frac{2A}{x} - z\\\\\rightarrow\frac{2y = \frac{2A}{x} - z}{2}\\\\\rightarrow \boxed{y = \frac{2A-xz}{2x}}$

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Hope this helps you. I apologize if it’s incorrect.

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What solution do 2x2 - 13x + 21 = 0 and 2x2 + 9x - 56 = 0 have in common? Round your answer to the nearest tenth if necessary.

lys-0071 [83]

So if we want to know the common solution(s) to a system of 2 equations, So we can just set both equations equal to each other and solve for the x value(s). That’s where I start below;

2x^2-13x+21 = 2x^2+9x-56
2x^2 cancels out and moving everything to one side and anything with an x variable to the other side we have then;
-22x=-77
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Ulleksa [173]

Answer:

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Step-by-step explanation:

Here are the steps:

Substitute the values,

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<em>good luck, i hope this helps :)</em>

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3 years ago

Read 2 more answers

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lys-0071 [83]

Answer:

|x - 5| = 2

Step-by-step explanation:

Since we are not given a zero on the number line, we do the following:

Average = midpoint between two numbers on the number line

For this number line,

Average = 3 + 7 ÷ 2

Average = 5

Next we find how many units away are each number from the middle:

3 is 2 units away from 5

7 is 2 units away from 5

Units away = 2

Let's use the formula:

|x - average| = Units away

Substitute values into equation

|x - 5| = 2

Now we solve

Solve for x over the integers:

|x - 5| = 2

Split the equation into two possible equations:

x - 5 = 2 or x - 5 = -2

Add 5 to both sides:

x = -5 + 5 = 2 + 5 or x - 5 + 5 = -2 + 5

Answer:

x = 7 or x = 3

LOOK AT THE GRAPH AND NUMBER LINE

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2 years ago

Alright, here's one for Algebra:

Wewaii [24]

Let x= number rows
Then x + 5 = number of seats per row

x(x+5) = 126
X^2 + 5x = 126
x^2 + 5x -126 = 0; now factor or use quadratic:
(x+14)(x-9) = 0; so the answers are either -14, or 9, and since -14 is not possible in this case because you can't have a negative number of rows, the answer is 9 rows.

Check work: number of rows = 9, number of seats per row = 9+ 5= 14, and 9 x 14 = 126

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Make y the subject of the equation 2A=x(2y+z)​

Make y the subject of the equation 2A=x(2y+z)