Find the general solution to laplace equation in spherical coordinates for the case where V depends only r

I'm not sure which calculator you are using, but the website desmos.com can be used as an online calculator. You would enter the two lines and where they intersect, it will tell you the coordinates.

Doing it manually, you could use the elimination or substitution method.

By the elimination method:

x + y = 7 (1)
x + 2y = 11 (2)
------------------
0 - y = -4 subtracting (2) from (1)
y = 4
Substituting into (1) x + 4 = 7

x = 3 After subtracting 4 from both sides

Checking in the second equation
LS RS
3 + 2 (4) 11
3 + 8 11
11 11
LS = RS
QED

Good luck,

Paul

5x + 7 = 45
5x = 45 -7
5x = 38
X = 38/5 = 7 3/5 or in decimal
X = 7.6
Or this could be a straight line equation of y = mx + c
Were y = 45 m = 5 = gradient of 5. Through the point of origin c = 7 at x =0
Question not specific enough
What topic are you doing?

A straight line can be written in the form y=mx+b, where m is the slope and b is the y-intercept.

In this case, we are given the slope (2) and the y-intercept (-3).

y=2x-3

Good luck,

Paul

that sounds like a problem about "slopes" so I am looking at using the derivative, which is basically the slope of the graph.
- the equation of line PQ can be simplified to y(x) = -2kx + k -8
- derivative relative to X (k is a constant) gives you -2k
- derivative of y(x) = 4x + 7 relative to x gives you 4

if the lines are parallel then the slopes are equal:
-2k=4 gives you k = -2 => your function becomes y = 4x - 8

if the lines are perpendicular the two slopes multiplied together give you -1:
-2k * 4 = -1 gives you k=1/8 => function becomes y = -1/4x - 7/8 or in other words y = -(2x+7)/8

I have made graphic representation and it looks to be correct.
I hope it makes sense.

I think you are missing some information in the question. Please provide the complete question.

R42

8m - 6 =2(4m - ????
You are trying to fetch the common part from the equation.
Let's know what is 2 here? It is the common part right?
Now dividing 2 from 8 and 6.
What the process left behind??
It is - 4 and 3

So the final equation you are looking for is:
8m-6=2(4m-3)

Reference - Algebra Tutor - https://www.tutoreye.com/online-tutors/Algebra

500 minutes.If this is homework, be sure to show your work.