1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
a company decided to increase the size of the box for the packaging of their alcohol products. the length of the original packag
Igoryamba

Answer:

The answer is below

Step-by-step explanation:

a company decided to increase the size of the box for the packaging of their alcohol products. the length of the original packaging box was 40 cm longer than its width and the height 12 cm, volume was at most 4800 cm3. Suppose the length of the new packaging box is still 40cm longer than its width and the height is 12cm, what mathematical statement would represent the volume of the new packaging box?​

Solution:

Let the width of the box be x cm.

The length of the box is 40 cm longer than the width, therefore the length of the box = x + 40

The height of the box = 12 cm

The volume of the box can be gotten from the formula:

Volume = length × width × height

Substituting:

Volume = (x + 40) × (x) × 12

Volume = 12x(x + 40)

Therefore the volume of the new box is 12x(x + 40)

8 0
2 years ago
How would you graph this
atroni [7]

Answer:

always start at the origin and X go before Y

6 0
3 years ago
Read 2 more answers
Someone help me plz!!
likoan [24]

Answer: x=15

Step-by-step explanation:

Since these are supplementary angles, we know that if we add them together we would get 180 deg. so....

(7x-10)+ (6x-5)=180

Kay so now we can combine like terms.

13x-15=180

Now we can add 15 to both sides.

13x=195

Finally Divide 13 on both sides.

X would then now equal 15.

6 0
2 years ago
Solve the following equation by factoring. 6x 2 - 5x = 50 {-5/3, 5} {-5/2, 10/3} {-10/3, 5/2}
rosijanka [135]
The correct answer is <span>{-5/2, 10/3}.</span>
6 0
3 years ago
Sam divided A rectangle into 8 congruent rectangles that each have the area shown. what is tge area of tge rectangle befoe sam d
aniked [119]

No area is shown. So befoe sam divided it,
the area of tge original rectangle was . . .

     8 x 0  =  zero .


3 0
3 years ago
Other questions:
  • 8. The sum of the interior angles of a triangle is 180 degrees. For a quadrilateral the sum is 360 degrees. For a pentagon the s
    7·1 answer
  • Which choice is equivalent to the quotient shown here when x&gt;0?
    10·1 answer
  • The picture shows a triangular island: Which expression shows the value of c?
    7·1 answer
  • 6 in Fig. 15.4. DABC is an equilateral triangle.
    6·2 answers
  • Can someone answer this for me?
    5·2 answers
  • - 4+-3 - (-11) =<br> O<br> O 10<br> 0-18<br> 04
    15·1 answer
  • The area of a square is 50 square meters. Which best represents the length of one side of the square?
    8·1 answer
  • A town's population goes from 12,000 to
    6·1 answer
  • Write 2 / 3 of 4 as a mixed number. ​
    12·2 answers
  • Plz help! Due tonight!
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!