n = 4! - 4² - V4² If we turn n into x and y = f(x) then we have 2 linear functions (straight lines): y1 = 3x+2 and y2 = x+10 The general form of a linear equation is y = ax + b with a is the slope, x is the variable and b = the point where the line crosses the y-axis. The last is easy to find by calculating y = f(0) = a.0 + b = b So the first line is going throught (0 , 2) with a slope of 3. To understand the slope we turn the slope into a = dy / dx so a fraction with dy is the change in y in relation to the dx or change in x. In this case a = 3/1 meaning from any point on the line the next point is found 1 step to the right and 3 steps up so quite steep. If a > 0 then the slope is climbing If a < 0 then the slope is decending If a = 0 then the line is horizontal at y = 0.x + b = b The second line is going throught (0,10) with slope of a = 1 = 1/1 (one step to the right and one step up). So this line is higher on the coordination system but with a moderate slope. Now we have 2 lines that will cross each other. To find this crossing we are looking for the point where y1 = y2 in this case 3x + 2 = x + 10 which will result in x1 = x2 = 4 Check: y1 = f(4) = 3.(4) + 2 = 14 and y2 = f(4) = 1.(4) + 10 = 14 And so the crossing point is at (4 , 14) And that is the meaning of the equation 3n+2 = n+10
n=4 in about three seconds in my head. I like the balance model since Algebra literally comes from "The Compendious Book on Calculation by Completion and Balancing" by Muhammad ibn Musa al-Khwarizmi in the early 9th century.
Two equations for finding value of 'x' and 'y' 1) ax + by = C 2) px + qy =C (If "C" is the Real Number as- 0,1,2,3......). Can we write or say. ("ax+by = px+qy") ( Because both are equal to "C"). Is it true or not. please help with example 🙏
This guy makes solving equations unnecessarily complicated. I did it in my head. You only need to collect like values and swap their sign either side of the ‘=‘ sign. Also, a mistake in the title of 10n instead of 10 😂
@@ralphmelvin1046 You are right. The objective is not to solve the equation but to teach how to solve it. Saying ''I did it in my head in 20 seconds'' doesn't help the student at all.
That's literally what he did. The entire point of the video is explaining that left hand side equals right hand side, so whatever you do to one side you must do to the other side too. There's nothing more to it.
Even if one is teaching, the method could be more straightforward. In collecting like terms, keep everything on a single row while doing the necessary adding and subtracting. It's a better way to prepare the student for advanced algebra.
@@robertstuart6645This video is clearly intended for people who don't yet understand that an equation is a statement saying that one thing equals another thing, and that you can manipulate equations but you have to make sure you do the same thing to both sides. That's very basic stuff that every single one of us did not, at one time, know. At that level, suggesting a bit of extra process to help keep track of what you're doing doesn't seem unreasonable.
n = 4! - 4² - V4²
If we turn n into x and y = f(x) then we have 2 linear functions (straight lines): y1 = 3x+2 and y2 = x+10
The general form of a linear equation is y = ax + b with a is the slope, x is the variable and b = the point where the line crosses the y-axis. The last is easy to find by calculating y = f(0) = a.0 + b = b
So the first line is going throught (0 , 2) with a slope of 3. To understand the slope we turn the slope into a = dy / dx so a fraction with dy is the change in y in relation to the dx or change in x. In this case a = 3/1 meaning from any point on the line the next point is found 1 step to the right and 3 steps up so quite steep.
If a > 0 then the slope is climbing
If a < 0 then the slope is decending
If a = 0 then the line is horizontal at y = 0.x + b = b
The second line is going throught (0,10) with slope of a = 1 = 1/1 (one step to the right and one step up). So this line is higher on the coordination system but with a moderate slope.
Now we have 2 lines that will cross each other. To find this crossing we are looking for the point where y1 = y2
in this case 3x + 2 = x + 10 which will result in x1 = x2 = 4
Check: y1 = f(4) = 3.(4) + 2 = 14 and y2 = f(4) = 1.(4) + 10 = 14 And so the crossing point is at (4 , 14)
And that is the meaning of the equation 3n+2 = n+10
whats is ⁶5+5⁶
Got 4 1 of your easiest.
Thanks for the fun
3n + 2 = n +10
3n - n = 10 - 2
2n = 8
2n/2 = 8/2
n = 4 ✓
3[4] + 2 = 4 +10
14 = 14
how is it possible to subtract n from 3n (3n being a multiplication)
Logic?!??!??
n=4 in about three seconds in my head. I like the balance model since Algebra literally comes from "The Compendious Book on Calculation by Completion and Balancing" by Muhammad ibn Musa al-Khwarizmi in the early 9th century.
3n+2=n+10
3n-n=10-2
2n=8
n= 8/2=4
n = 4
Two equations for finding value of 'x' and 'y'
1) ax + by = C
2) px + qy =C
(If "C" is the Real Number as- 0,1,2,3......).
Can we write or say.
("ax+by = px+qy") ( Because both are equal to "C").
Is it true or not. please help with example 🙏
3n=n+8,2n=8,n=4
4.
4
n = 4
4😊
too easy
This guy makes solving equations unnecessarily complicated. I did it in my head. You only need to collect like values and swap their sign either side of the ‘=‘ sign. Also, a mistake in the title of 10n instead of 10 😂
Is objective is to teach so he's going to teach it piece by piece because he is a teacher
@@ralphmelvin1046 You are right. The objective is not to solve the equation but to teach how to solve it. Saying ''I did it in my head in 20 seconds'' doesn't help the student at all.
That's literally what he did. The entire point of the video is explaining that left hand side equals right hand side, so whatever you do to one side you must do to the other side too. There's nothing more to it.
Even if one is teaching, the method could be more straightforward. In collecting like terms, keep everything on a single row while doing the necessary adding and subtracting. It's a better way to prepare the student for advanced algebra.
@@robertstuart6645This video is clearly intended for people who don't yet understand that an equation is a statement saying that one thing equals another thing, and that you can manipulate equations but you have to make sure you do the same thing to both sides.
That's very basic stuff that every single one of us did not, at one time, know. At that level, suggesting a bit of extra process to help keep track of what you're doing doesn't seem unreasonable.
n=4
n=4