Solve the equation 10x+12y=1080

Answers

Answer 1

Answer:

Answer:

To solve the equation 10x + 12y = 1080, we need to find the values of x and y that satisfy the equation. Here's how you can do it:

Step 1: We'll start by isolating one variable on one side of the equation. Let's isolate x by subtracting 12y from both sides of the equation:

10x + 12y - 12y = 1080 - 12y

This simplifies to:

10x = 1080 - 12y

Step 2: Now, we want to isolate x. To do this, we'll divide both sides of the equation by 10:

10x/10 = (1080 - 12y)/10

Simplifying further:

x = (1080 - 12y)/10

x = 108 - (12y/10)

x = 108 - (6y/5)

So, the value of x in terms of y is x = 108 - (6y/5).

To find the value of y, we can follow a similar process:

Step 1: Let's isolate y by subtracting 10x from both sides of the equation:

10x + 12y - 10x = 1080 - 10x

This simplifies to:

12y = 1080 - 10x

Step 2: Now, we want to isolate y. To do this, we'll divide both sides of the equation by 12:

12y/12 = (1080 - 10x)/12

Simplifying further:

y = (1080 - 10x)/12

y = 90 - (5x/6)

So, the value of y in terms of x is y = 90 - (5x/6).

You can substitute any value for x or y in these equations to find the corresponding value for the other variable. For example, if x = 5, you can substitute it into either equation to find the value of y.

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If (x - 2)² = 49 , then x could be?
9, 15, 1, 19, 4,6Medianwhat’s the median?? or how do you find out the median so i can learn.
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Perry observes the opposite , parallel walls of a room. In how many lines do the planes containing the walls intersect

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zero i believe would be the answer.

The walls don't intersect because they are parallel.

The run is the _________ change between two points along a line

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Run is the horizontal change between points. Run in slope means the change in "x" .

Answer:

The run is thehorizontal change between two points along a line

Step-by-step explanation:

The slope of a line can be defined as

$\text{Slope}=\frac{\text{Rise}{\text{Run}=(\Delta y)/(\Delta x)$

On comparing, we can say below mentioned things:

The run is always in the x direction and we take the horizontal axis as x-axis.

And rise is always in the y direction and we take the vertical axis as y-axis.

Therefore, we can conclude that the run is thehorizontal change between two points along a line

What is the solution to the system of equations?

4x+y=2
x-y=3

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$4x+y=2\nx-y=3\n------\n5x=5\nx=1\n\n1-y=3\n-y=-2\ny=2$

What's 1/2 in simplest form?

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1/2 in simplest form is 1/2. you cant go any lower than that.

1/2 in simplest form? You can't simplify it any further. So it's just 1/2. Hope I helped.

A rectangle has a height of 7x^2and a width of 3x^2+ 8x + 7.Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
3x^2
+
8x
+
7
7x^2
Area =
What is the area

Answers

Final answer:

The area of the rectangle is found by multiplying the length and the width together, giving the polynomial 21x^4 + 56x^3 + 49x^2.

Explanation:

The area of a rectangle can be found by multiplying the length by the height. In this case, the height of the rectangle is 7x^2 and the width of the rectangle is 3x^2 + 8x + 7

So, we multiply these two expressions together to get the area:

Area = 7x^2 * (3x^2 + 8x + 7) = 21x^4 + 56x^3 + 49x^2.

This is a polynomial and it is in standard form, as the terms are ordered from highest degree to lowest degree.