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djyliett [7]
3 years ago
15

Solve the following formula for the indicated variable. – 5x – 3y = 13: solve for y.

Mathematics
1 answer:
SashulF [63]3 years ago
3 0

9514 1404 393

Answer:

  y = -5/3x -13/3

Step-by-step explanation:

In any "solve for ..." problem, it is useful to start by identifying where the target is and what has been done to it. Here, y is in one term on the left side of the equation and it has had these things done to it:

  • multiply by -3
  • add -5x

We want to undo these in reverse order. We undo addition by adding the opposite. We undo multiplication by multiplying by the reciprocal (equivalently, dividing). <em>Whatever we do to one side of the equation, we must also do to the other side</em>.

So, first we add the opposite of -5x to both sides of the equation.

  -5x +5x -3y = 13 +5x

  -3y = 13 +5x . . . . . . . . . collect terms

Next, we undo the multiplication by -3. We can do that by multiplying both sides by 1/(-3) = -1/3.

  (-1/3)(-3y) = (-1/3)(13 +5x)

  y = -5/3x -13/3 . . . . . also we rearranged the terms to standard form

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A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,360 ft Determine the​ flag's width and
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The length of rectangular mosaic flag is 710 feet and width is 470 feet

Step-by-step explanation:

Let l be the length of the flag

and

w be the width

Then according to given statement

l = w+240

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The formula for perimeter is given by:

Perimeter = 2(Length+Width)

Putting values

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\frac{2w}{2} = \frac{940}{2}\\w = 470

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Hence,

The length of rectangular mosaic flag is 710 feet and width is 470 feet

Keywords: Perimeter, dimensions

Learn more about perimeter at:

  • brainly.com/question/9527422
  • brainly.com/question/9381523

#LearnwithBrainly

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