Solve 20x+5y=15 for y.
2 answers:
Answer:
The answer is
Step-by-step explanation:
In order to determine the answer, we have to know about linear equations.
In any linear equation, we have two variables:
- y=f(x): dependent variable.
- x: independent variable.
So, the value of "y" always depends on the value of "x". Sometimes it is better free the "y" variable in one side. In this way, we can see the slope of the linear equation which is the coefficient next to the "x" variable.
Solving the equation for "y":
For this problem, the slope is -4.
Finally the solving for "y" is
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<h2> <u>Rectangular</u> <u>Areas</u> <u>and</u> <u>Perimeters</u></h2>
The perimeter of a rectangle is given by:
In the problem we have these data:
- Length = a
- Width = -2x + 20
- Perimeter = 6 + 2 (-2x + 20)
We replace the data in the equation of the perimeter:
<h3>6 + 2 (-2x + 20) = 2 (a - 2x + 20) </h3>
We apply distributive property:
6 - 4x + 40 = 2a - 4x + 40
6 = 2a
6 ÷ 2 = a
3 = a
⇒ Length = 3
The area of the rectangle is given by:
We have these data:
- Length = 3
- Width = -2x + 20
We replace the data in the equation of the area:
<h3>Area = (3) (- 2x + 20) </h3>
We apply the distributive property and obtain:
Area = -6x + 60
<u>The expression representing the area of the rectangle will be -6x + 60</u>
<h3>I hope I've helped!</h3>