Ask question

Ask question

All categories

3 years ago

7

Set y= 22x+4 and y= 14x+28 equal and solve algebraically

1 answer:

Doss [256]3 years ago

3 0

Answer:

x = 3; y = 70.

Step-by-step explanation:

When you set the two equations equal to each other you get:

22x + 4 = 14x + 28

This is a multi-step equation since the variable is on both sides of the equal sign. In order to solve any equation, you must use inverse (opposite) operations to isolate the variable and whatever you do to one side of the equal sign, you must do to the other. The first step for this equation is to get the variable on one side and the constants on the other. Subtracting 14x from both sides: 22x - 14x + 4= 14x - 14x +28 gives us 8x +4 = 28. Next, subtract the 4 from both sides to get: 8x +4 - 4 = 28 - 4 or 8x = 24. Lastly, divide both sides by 8 to get x = 3. To solve for y, simply plug 3 in for 'x' in either of the initial equations: y = (22)(3) + 4 = 70.

You might be interested in

2.) Fill in the blank.

Montano1993 [528]

Answer:

E.) 1

Step-by-step explanation:

Firstly we will solve for L.H.S.

L.H.S. = $Csc^2\theta$

Since we know that $Csc^2\theta$ is the inverse of $Sin^2\theta$ .

So we can say that;

$csc^2\theta=\frac{1}{sin^2\theta}$

Now For R.H.S.

$Cot^2\theta+1$

Since we can rewrite $cot^2\theta$ as $\frac{cos^2\theta}{sin^2\theta}$ .

Now we can say that the R.H.S. is;

$\frac{cos^2\theta}{sin^2\theta}+1$

Now we add the fraction and get;

$\frac{cos^2\theta+sin^2\theta}{sin^2\theta}$

Now according to trigonometric identity;

$cos^2\theta+sin^2\theta=1$

So, $\frac{cos^2\theta+sin^2\theta}{sin^2\theta}=\frac{1}{sin^2\theta}$

Here,

$csc^2\theta=\frac{1}{sin^2\theta}$ and $Cot^2\theta+1$ = $\frac{1}{sin^2\theta}$ <em> </em>

L.H.S. = R.H.S.

Hence $csc^2\theta=cot^2\theta+1$

4 0

2 years ago

What is the value of this expression?<br><br> 1.5(−2.4+(−5.3))

Ahat [919]

Answer:

-11.55

Step-by-step explanation:

(to get the numbers out of the brackets you have to multiply all the numbers in the brackets to the number that is there, and in this case its 1.5)

1.5x(-2.4)= -3.6

1.5×(-5.3)= -7.95

after that, you add them (because there is a plus sign, not a minus, multiplication sign or a division sign.)

-7.95+ -3.6= -11.55

answer= -11.55

7 0

2 years ago

Please help ASAP!!<br>What is the sum of the square root of 676 and square of 24

Amiraneli [1.4K]

Step-by-step explanation:

square root of 676 is equal to 26

square of 24 is equal to 576

576+26 = 602

8 0

2 years ago

Read 2 more answers

What number is 25% of 4/7 <br><br> WITH WORK<br><br> ASAP

valina [46]

The answer is 1/7 and can be explained mathematically in the picture

3 0

3 years ago

Read 2 more answers

A circle has a diameter of 22mm. What is its circumference ?

Artist 52 [7]

Answer:

22 $\pi$

Step-by-step explanation:

Circumference = diameter * pi = 22 * pi

7 0

3 years ago

Read 2 more answers