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Morgarella [4.7K]
3 years ago
14

2y-x=3/4(-y+1) solve for y

Mathematics
1 answer:
liubo4ka [24]3 years ago
8 0

Answer:

(4x + 3)/11

Explanation:

2y -x = 3/4(-y + 1)        Multiply both sides by 4

8y – 4x = 3(-y + 1)        Remove parentheses

8y – 4x = -3y + 3         Add 3y to each side

11y -4x = 3                    Add 4x to each side

11y = 4x + 3                  Divide both sides by 11

y = (4x + 3)/11

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Kate bought 3 used CDs and 1 used DVD at the bookstore. Her friend Joel bought 2 used CDs and 2 used DVDs at the same store. If
natka813 [3]

Answer:

Cost of 1 DVD is $6.5

Cost of one CD is $4.5

Combine cost of one DVD and CD is $11

Step-by-step explanation:

Given :

Kate bought 3 used CDs and 1 used DVD at the bookstore.

Her friend Joel bought 2 used CDs and 2 used DVDs at the same store.

Kate spent $20

Joel spent $22

To Find :  the cost of a used CD and a used DVD

Solution :

Let cost of 1 used CDs be $x

Let cost of 1 used DVDs be $y

Cost of 3 used CDs = $3x

Cost of 2 used CDs = $2x

Cost of 2 used DVDs = $2y

Kate bought 3 used CDs and 1 used DVD at the bookstore.

She spent $20

So, equation becomes :

⇒3x+y=20 ---(a)

Joel bought 2 used CDs and 2 used DVDs. she spent $22.

So, equation becomes:

⇒2x+2y=22 --(b)

Now solve (a) and (b) to determine the value of x and y

We will use substitution method

Substitute the value of x from (b) in (a)

3(\frac{22-2y}{2} )+y=20

33-3y+y=20

33-2y=20

33-20=2y

13=2y

\frac{13}{2} =y

6.5 =y

Thus cost of 1 DVD is $6.5

Now substitute this value of y in b to get value of x

⇒2x+2(6.5)=22

⇒2x+13=22

⇒2x=22-13

⇒2x=9

⇒x=\frac{9}{2}

⇒x=4.5

Thus the cost of one CD is $4.5

Hence the combine cost of one DVD and CD =  $6.5+ $4.5=$11


6 0
3 years ago
Simplify your answer.<br><br><br> 9x 5/9
pantera1 [17]

Answer: the answer is 5

Step-by-step explanation:

good luck

7 0
2 years ago
Laptops that sell for $660 are on sale with a percent discount of 7%. Find the sale price. Round your answer to the nearest cent
ivann1987 [24]

Answer:

$613.80

Step-by-step explanation:

7% of 660 = 0.07 × 660 = 46.2

660 - 46.2 = 613.80

6 0
3 years ago
A block of wood measures 9.5 inches by 1.5 inches by 8 inches. What is the volume of the block of wood?
MatroZZZ [7]
114 is the answer hope this helps good luck and god bless!
6 0
3 years ago
Solve the following problem. Give the equation using x as the​ variable, and give the answer.
Vinil7 [7]

Answer:

A. 3x + (x+8) = -22 - 2x

Step-by-step explanation:

Let the number equal x.

Set up the first half of the equation.

The sum of three times the number and 8 more than the number can be written as:

3x + (x+8)

Sum means that you add the components.

Set up the second half of the equation.

The difference between -22 and twice the number can be written as:

-22 - 2x

Difference means subtraction, and because -22 is written first, that is the number that you subtract <em>from</em>.

If you set the halves of the equation equal, you get:

3x + (x+8) = -22 - 2x

Therefore, the answer is A.

5 0
2 years ago
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