Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation -x^3+14*x^2-61*x+84=0
-
Equation 2x^2+6x=0
-
Equation 6(x-3)=12
-
Equation 7x+x+3=19
- Express {x} in terms of y where:
- 5*x+4*y=9
- 17*x-5*y=11
- 18*x-3*y=-12
- -17*x+20*y=5
- Sum of series:
-
200
-
Identical expressions
- four thousand, four hundred /(x+ ninety)= two hundred
- 4400 divide by (x plus 90) equally 200
- four thousand, four hundred divide by (x plus ninety) equally two hundred
- 4400/x+90=200
- 4400 divide by (x+90)=200
-
Similar expressions
- 4400/(x-90)=200
4400/(x+90)=200 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation:
$$\frac{4400}{x + 90} = 200$$
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
so we get the equation
$$\frac{4400}{200} = x + 90$$
$$22 = x + 90$$
Move free summands (without x)
from left part to right part, we given:
$$0 = x + 68$$
Move the summands with the unknown x
from the right part to the left part:
$$- x = 68$$
Divide both parts of the equation by -1
We get the answer: x = -68
$$\frac{4400}{x + 90} = 200$$
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
a1 = 4400
b1 = 90 + x
a2 = 1
b2 = 1/200
so we get the equation
$$\frac{4400}{200} = x + 90$$
$$22 = x + 90$$
Move free summands (without x)
from left part to right part, we given:
$$0 = x + 68$$
Move the summands with the unknown x
from the right part to the left part:
$$- x = 68$$
Divide both parts of the equation by -1
x = 68 / (-1)
We get the answer: x = -68