-7u-2=33
To solve this equation for "u," we can start by isolating the variable on one side of the equation.
First, we will move the constant term (-2) to the other side of the equation by adding 2 to both sides:
-7u - 2 + 2 = 33 + 2
Simplifying the equation, we get:
-7u = 35
Next, we can isolate the variable "u" by dividing both sides of the equation by -7:
(-7u) / -7 = 35 / -7
Simplifying further, we have:
u = -5
So, the solution to the equation -7u - 2 = 33 is u = -5.
a/3=1.5/7
To solve this equation for "a," we can start by cross-multiplying.
The equation is:
a/3 = 1.5/7
To cross-multiply, we multiply the numerator of the first fraction (a) by the denominator of the second fraction (7), and vice versa:
7a = 1.5 * 3
Simplifying further, we have:
7a = 4.5
Now, let's isolate the variable "a" by dividing both sides of the equation by 7:
(7a) / 7 = 4.5 / 7
Simplifying, we get:
a = 0.6428571428571428
So, the solution to the equation a/3 = 1.5/7 is a = 0.6428571428571428 (rounded to 15 decimal places).
15/4.2=4.8/b
To solve this equation for "b," we can start by cross-multiplying.
The equation is:
15/4.2 = 4.8/b
To cross-multiply, we multiply the numerator of the first fraction (15) by the denominator of the second fraction (b), and vice versa:
15b = 4.2 * 4.8
Next, we can simplify the right side of the equation:
15b = 20.16
Now, let's isolate the variable "b" by dividing both sides of the equation by 15:
(15b)/15 = 20.16/15
Simplifying further, we get:
b = 1.344
So, the solution to the equation 15/4.2 = 4.8/b is b = 1.344 (rounded to three decimal places).
a^2 + 45^2 = 51^2
To solve this equation for "a," we need to simplify and isolate the variable.
The equation is:
a^2 + 45^2 = 51^2
First, let's simplify the equation:
a^2 + 2025 = 2601
Next, let's isolate the variable "a" by subtracting 2025 from both sides of the equation:
a^2 = 2601 - 2025
Simplifying further, we have:
a^2 = 576
To solve for "a," we can take the square root of both sides of the equation:
sqrt(a^2) = sqrt(576)
Taking the square root, we get:
a = 24 or a = -24
So, the solutions to the equation a^2 + 45^2 = 51^2 are a = 24 and a = -24.