All categories

2 years ago

What is the solution to the system of equations below?

Mathematics

2 answers:

Ymorist [56]2 years ago

6 0

Answer:

6×+÷3=2+4×=6

3x 8x+6 =8×+y1×-2

Alinara [238K]2 years ago

3 0

To solve the system of equations, first solve for x.

Because both equations equal y, they also equal each other (rule: if a = c and b = c, than a = b)

You can then set the equations equal to each other and solve for x.

1/2x + 6 = -3/4x - 4

I want to get x onto just one side. 1/2 = 2/4. I now add 3/4 x to both sides to get this:

5/4x + 6 = -4

I then subtract 6 from each side

5/4x = -10

Finally I dive each side by 5/4

x = -8

Now to solve for y I plug in x = -8 into one equation. I’m going to use the first one.

y = 1/2(-8) + 6
y = -4 + 6
y = 2

Your solution is (-8, 2)
To double check this, plug these values into the second equation. If both sides equal each other than you have the right answer.

You might be interested in

Help! Please show work. -2k+10=8(8k-7)

Burka [1]

Answer:

k=1

Step-by-step explanation:

-2k+10=64k-56

66=66k

k=1

7 0

2 years ago

Please help me!!!!!!!!!

serious [3.7K]

Download the app photomath it will help you

6 0

2 years ago

) The density of oil in a circular oil slick on the surface of the ocean at a distance of r meters from the center of the slick

Feliz [49]

Answer:

Therefore the mass of the of the oil is 409.59 kg.

Step-by-step explanation:

Let us consider a circular disk. The inner radius of the disk be r and the outer diameter of the disk be (r+Δr).

The area of the disk

=The area of the outer circle - The area of the inner circle

= $\pi (r+\triangle r)^2- \pi r^2$

$=\pi [r^2+2r\triangle r+(\triangle r)^2-r^2]$

$=\pi [2r\triangle r+(\triangle r)^2]$

Since (Δr)² is very small, So it is ignorable.

∴ $A=2\pi r\triangle r$

The density $\delta (r)= \frac{40}{1+r^2}$

We know,

Mass= Area× density

$=(2r \pi \triangle r)(\frac{40}{1+r^2}})$

Total mass $M=\sum_{i=1}^n \frac{80r_i\pi }{1+r^2}\triangle r_i$

Therefore

$\sum_{i=1}^n \frac{80r_i\pi }{1+r^2}\triangle r_i=\int_0^5 \frac{80r\pi }{1+r^2}dr$

$=40\pi[ln(1+r^2)]_0^5$

$=40\pi [ln(1+5^2)-ln(1+0^2)]$

$=40\pi ln(26)$

= 409.59 kg (approx)

Therefore the mass of the of the oil is 409.59 kg.

3 0

2 years ago

What do y’all think the world is going to be in the future

geniusboy [140]

Answer:

No trees and just buildings.

Step-by-step explanation:

In the future, it is most likely to have some tall, bulky buildings.

Some scientists say that the future will be more about buildings and work spaces and less about trees.

So it is MORE likely for the future to have at least... 20 trees in the park. Also, less land. The land will be used to build buildings.

7 0

2 years ago

Plz help me on dis math

vlabodo [156]

The first answer is B: 2 1/2

4 5/6 is put there twice except the last one is subtracting so you can put, 4 5/6 - 4 5/6 = 0 therefore the only number left is 2 1/2

the second one I really don't know sorry:(

The third answer is C because the cases come in 24. But they didn't tell you how many case she brought so the variable has to be by 24 and they took 43 which is the subtracting factor. So the answer is C.

And I also don't know the last one again sorry:(

8 0

2 years ago