All categories

4 years ago

-6x+6y=6 -6x + 3y =-12

Mathematics

2 answers:

mestny [16]4 years ago

8 0

Answer:

(5,6)

Step-by-step explanation:

-6x+6y=6

-6x + 3y =-12

Multiply the first equation by -1

6x-6y=-6

Add this to the second equation

6x-6y=-6

-6x + 3y =-12

---------------------

-3y = -18

Divide each side by -3

-3y/-3 = -18/-3

y =6

Now we need to find x

6x - 6y = -6

6x -6(6) = -6

6x -36 = -6

Add 36 to each side

6x-36+36 = -6+36

6x = 30

Divide each side by 6

6x/6 = 30/6

x =5

Umnica [9.8K]4 years ago

8 0

Hope this helps with the answer to your question :)
All you need to do is figure out if you need to add or subtract
In this case, we want to make the x value equal to zero so we have to subtract ;)

You might be interested in

A set of a thousand numbers has a mean of zero.

Alona [7]

We want to find the mean of two elements in a set, given that we know the other elements of the set and the mean of the whole set.

The answer is: -490

-----------------------------

For a set with N elements {x₁, x₂, ..., xₙ} the mean is given by:

$M = \frac{x_1 + x_2 + ... + x_n}{N}$

Here we know that:

The mean of the set is 0.
The set has 1000 elements.
998 of these elements are ones, the other two are A and B.

We want to find the mean of the values of A and B.

First, we can start by writing the equation for the mean:

$\frac{1 + 1 + 1 + ... A + B}{1000} = 0$

We can rewrite this as:

$1 + 1 + 1 +... + A + B = 0$

And we have 998 ones, then:

$1 + 1 + 1 +... + A + B = 998 + A + B = 0\\\\B = - 998 - A$

Now we have B isolated.

With this, the mean of A and B can be written as:

$\frac{A + B}{2} = \frac{A - 980 - A}{2} = -490$

So we can conclude that the mean of the other two numbers is -490.

If you want to learn more, you can read:

brainly.com/question/22871228

5 0

3 years ago

Solve the rational function of (check image) and check for extraneous solutions

Oxana [17]

Answer:

Option A is correct.

i.e. x = 1, x = 0 is an extraneous solution.

Step-by-step explanation:

Given the expression

$\frac{5}{x}=\frac{4x+1}{x^2}$

Solving the rational function

$\frac{5}{x}=\frac{4x+1}{x^2}$

Apply fraction across multiply: if $\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c$

$5x^2=x\left(4x+1\right)$

Subtract x(4x+1) from both sides

$5x^2-x\left(4x+1\right)=x\left(4x+1\right)-x\left(4x+1\right)$

Simplify

$5x^2-x\left(4x+1\right)=0$

5x² - 4x² - x = 0

x² - x = 0

Factor x² - x = x(x-1)

x(x-1) = 0

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

$x=0\quad \mathrm{or}\quad \:x-1=0$

Thus, the solution to the equation is:

$x=0,\:x=1$

But, it is clear that if we substitute x = 0, the equation becomes undefined because we can not have the denominator to be 0.

In other words, the equation is undefined for x = 0

Thus, x = 0 is an extraneous solutions.

Therefore, option A is correct.

i.e. x = 1, x = 0 is an extraneous solution.

5 0

3 years ago

Thats the question

elixir [45]

Answer:

160 in ^2

Step-by-step explanation:

First we need to find the area of each shape and add them together

1. Triangles:

The formula for a triangle is (base x height)/2, so we can replace them as (5 * 4)/2 * 2( Because there are two triangles), so therefore the two triangles will add up to 20 inches

2. The Rectangles

The Big Rectangle:

The big rectangle is just l x w or 5 * 20 which is 100

The small rectangle:

To find the width of the small rectangle you have to do 20 - (5 + 5) because we are not including the triangles. 20 - (5 + 5) = 10, so that would be 10 * 4 = 40.

3.Add them together

20 + 100 + 40 = 160 inches ^2

Hope this helps!!!

4 0

3 years ago

Solve the equation. Round the solution to the tenths place. 6.35t = 56.515 t =

Westkost [7]

Answer:

t = 8.9

Step-by-step explanation:

6.35t = 56.515

56.515 / 6.35 = t

t = 8.9

5 0

4 years ago

Which pair of expressions is equivalent?

riadik2000 [5.3K]

You’re answer is a
Please mark brainliest

4 0

3 years ago