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3 years ago

15 Solve for y| 3x - 8y = 24

Mathematics

1 answer:

rewona [7]3 years ago

6 0

Answer:

$\quad y=-\frac{24-3x}{8}$

Step-by-step explanation:

1. Subtract 3x from both sides

3x-8y-3x=24-3x

2. Simplify

-8y=24-3x

3. Divide both sides by -8

$\frac{-8y}{-8}=\frac{24}{-8}-\frac{3x}{-8}$

4. Simply again to get answer.

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Step-by-step explanation:

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Here a right angled triangle given. one angle with measure $45^o$ given. The three sides of the triangle given 4, x, y.

We have to find, the sides which is opposite, adjacent and hypotenuse here.

We know that the side opposite to right angle is always hypotenuse. So, hypotenuyse = y.

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Now we will use SOHCAHTOA that is $sin(x) =\frac{Opposite}{Hypotenuse} , cos(x) =\frac{Adjacent}{Hypotenuse} , tan(x) =\frac{Opposite}{Adjacent}$ , where x is the angle given.

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So we have got the value of x here.

Now to find y, we will use the trigonometric function sine.

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By substituting the value we will get,

$\frac{\sqrt{2}}{2} = \frac{4}{y}$

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We will get y by dividing both sides by $\sqrt{2}$ , we will get,

$\frac{\sqrt{2}y}{\sqrt{2}} =\frac{8}{\sqrt{2} }$

$y =\frac{8}{\sqrt{2} }$

Now we will rationalize the denominator by multiplying $\sqrt{2}$ to the top and bottom.

$y =\frac{8\sqrt{2}}{(\sqrt{2})(\sqrt{2})}$

$y =\frac{8\sqrt{2}}{2}$

$y = 4\sqrt{2}$

So we have got the required values of x and y.

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3 years ago

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Aisha bought 15 apples and oranges for $9.00. Each orange costs $0.50, and each apple costs $0.65. Let x represent the number of

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I might be wrong but i think its
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Natali [406]

Answer:

(5,-1) or x=5 y=-1

Step-by-step explanation:

I used the substitution method to solve this!

1. Pick one of your equations and solve for one of the variables. I chose the first equation and solved for x.

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(Move the -2y to the other side of the equation in order to get the x by itself. You do the opposite, so it becomes +2y.)

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(We want to get the y by itself, so move the 14 to the other side.)

4y+5y=-14+5

(Combine all the like terms.)

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(Divide the 9 from the y. What you do to one side you must do to the other.)

y=-1

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(Multiple -2 by -1)

x+2=7

(Move the 2 to the other side in order to get the x by itself.)

x=5

4. If needed, plug in your x and y values into the equations in order to check your answer.

Hope this could help!

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3 years ago

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2 years ago

15 Solve for y| 3x - 8y = 24​

15 Solve for y| 3x - 8y = 24