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kvv77 [185]
3 years ago
8

Solve 9x-2y=11 for y

Mathematics
2 answers:
mojhsa [17]3 years ago
4 0

Answer:

y=9/2x-11/2

Step-by-step explanation:

-2y=11-9x

y=11-9x/-2

y=9/2x-11/2

frosja888 [35]3 years ago
4 0

Answer:

y= 9/2x - 11/2

or

y=4.5x -5.5

Step-by-step explanation:

To solve for y, we must get y by itself on one side of the equation.

9x-2y=11

9x is being added to 2y. The inverse of addition is subtraction. Subtract 9x from  both sides.

9x-9x -2y= 11-9x

-2y= 11-9x

y is being multiplied by -2. The inverse of multiplication is division. Divide both sides by -2.

-2y-/2= 11-9x/-2

y= 11/-2 - 9x/-2

y=- 11/2 +9/2 x

or

y= -5.5 +4.5 x

Reorder the terms.

y= 9/2x - 11/2

or

y=4.5x -5.5

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ZanzabumX [31]

Each of the problems asks you to a similar idea: get a common denominator with  the fractions and then subtract.

Problem 1: 28 3/8 - 19 5/6

The factors of 8 are 2, 2, and 2. The factors of 6 are 2 and 3. We take one two that's repeated, two more twos from 8, and a 3 for the common denominator. So, 2 * 2 * 2 * 3 = 24 is the lowest common denominator (LCD).

Now  change the fractions to the common denominators

3/8 = ? / 24         We go from 8 to 24 multiplying by 3, so 3 multiplied by 3 is 9.

5/6 = ? / 24       We go from 6 to 24 multipling by 4, so 5 multiplied by 4 is 20.

Then,

28 3/8 - 19 5/6

= 28 9/24 - 19 20/24        <----use common denominators

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Problem 2 works similarly to problem 1, with an LCD of 15.

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= 17 21/15 - 9 13/15

= 8 8/15


Thus the differences are 8 13/24 (1st) and 8 8/15 (2nd).

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