Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation exp(x)=0
-
Equation x^3+2x-3=0
-
Equation 2*x^2+5*x-25=13*x+17
-
Equation a+120=4000/5
- Express {x} in terms of y where:
- 9*x-19*y=-20
- 15*x+17*y=-10
- 13*x-4*y=18
- -18*x-16*y=3
-
Identical expressions
- one /(5x+ ten)= one /(7x− twenty-two)
- 1 divide by (5x plus 10) equally 1 divide by (7x−22)
- one divide by (5x plus ten) equally one divide by (7x− twenty minus two)
- 1/5x+10=1/7x−22
- 1 divide by (5x+10)=1 divide by (7x−22)
-
Similar expressions
- 1/(5x-10)=1/(7x−22)
1/(5x+10)=1/(7x−22) equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
1 1 -------- = -------- 5*x + 10 7*x - 22
$$\frac{1}{5 x + 10} = \frac{1}{7 x - 22}$$
Detail solution
Given the equation:
$$\frac{1}{5 x + 10} = \frac{1}{7 x - 22}$$
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
so we get the equation
$$7 x - 22 = 5 x + 10$$
$$7 x - 22 = 5 x + 10$$
Move free summands (without x)
from left part to right part, we given:
$$7 x = 5 x + 32$$
Move the summands with the unknown x
from the right part to the left part:
$$2 x = 32$$
Divide both parts of the equation by 2
We get the answer: x = 16
$$\frac{1}{5 x + 10} = \frac{1}{7 x - 22}$$
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
a1 = 1
b1 = 10 + 5*x
a2 = 1
b2 = -22 + 7*x
so we get the equation
$$7 x - 22 = 5 x + 10$$
$$7 x - 22 = 5 x + 10$$
Move free summands (without x)
from left part to right part, we given:
$$7 x = 5 x + 32$$
Move the summands with the unknown x
from the right part to the left part:
$$2 x = 32$$
Divide both parts of the equation by 2
x = 32 / (2)
We get the answer: x = 16