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Calculus
The branch of mathematics that deals with the study of continuously changing quantities, with the use of limits and the differentiation and integration of functions of one or more variables, is called Calculus. Calculus analyzes aspects of change in processes or systems that can be modeled by functions. The English physicist, Isaac Newton, and the German mathematician, G. W. Leibniz, working independently, developed calculus during the 17th century.
25,068 Questions
Solve this equation for A A divides 2 equals 4?
Written algebraically, the equation is (2/A)=4.
The first step is to move the variable A from the denominator. To do this, multiply both sides of the equation by A:
A*(2/A)=4*A
The A in the denominator on the left is canceled out and we are left with:
2=4*A
To solve for A divide both sides of the equation by 4:
2/4=A
Two over four simplifies to one half, which equals A:
1/2=A
If you mean "what is 3x cubed when x = 5?", the answer is 375.
Stating questions accurately helps responders give a proper answer.
How do you solve 5y plus x equals -3 plus 4y?
One linear equation in two variables (x and y) cannot be solved.
3X - 4 = 66
add 4 to each side
3X - 4 + 4 = 66 + 4
3X = 70
divide each sides integers by 3
(3/3)X = 70/3
X = 70/3
------------------check in original equation
3(70/3) - 4 = 66
210/3 - 4 = 66
70 - 4 = 66
66 = 66
---------------checks ( naturally, you could have canceled here, 3(70/3) and just got 70 )
What are the solutions to x2 plus 20 -9x?
Not being an equation, it does not have a "solution" per se.
If you wish to factor it, you can do it like so:
x2 + 20 - 9x
= x2 - 5x - 4x + 20
= x(x - 5) - 4(x - 5)
= (x - 4)(x - 5)
If that expression is equal to zero, then x would be equal to 4 or 5.
How do you solve 2x plus 2y equals 4 and 4x plus y equals 1?
2x + 2y = 4
4x + y = 1
There are many methods you can use to solve this system of equations (graphing, elimination, substitution, matrices)...but no matter what method you use, you should get x = -1/3 and y = 7/3.
Algebra and calculus
Is point 2 3 on the line represented by the equation x - 2y equals -4?
To check whether or not that is the case, substitute the values for x and y in the equation and see if it works.
So: x - 2y = -4
becomes 2 - 2*3 = -4
or 2 - 6 = -4 which is true.
So the point is on the line.
How do you solve this equation 9 equals 6s?
9 is equal to 6 times x. divide both sides by 6 to leave the x by itself. 9 divided by 6 is 1.5 so x is 1.5.
What is 7x plus 13 equals 2x plus 3?
7x + 13 = 2x + 3 First, subtract 3 from both sides.
7x + 13 - 3 = 2x + 3 - 3
Simplify both sides.
7x + 10 = 2x
Now, subtract 2x from both sides.
7x - 2x + 10 = 2x - 2x
Simplify again.
5x + 10 = 0
Finally, subtract 10 from both sides, simplify, and divide both sides by 5.
5x + 10 - 10 = 0 - 10
5x = -10
x = -2
So the answer is x = -2.
3x + y = 3
2x - y = -1
Add the two equations: 5x + 0y = 2 or x = 2/5 = 0.4
Substitute the value of x in the first equation: 1.2 + y = 3 so y = 3 - 1.2 = 1.8
The given equation can be simplified to 2x + 3y = 6 but that is about it.
Given 2 unknown variables (x and y) you need two independent equations to solve for them. The only other thing you can so with the above equation is to express
y in terms of x : y = (6 - 2x)/3 = 2 - 2x/3
or
x in terms of y: x = (6 - 3y)/2 = 3 - 3y/2
Both different (and possibly clumsier) ways of saying the same thing as the original equation.
