Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation 1/(x-1)^2+2/(x-1)-3=0
- Equation x-y=2
-
Equation (x-6)(4x-6)=0
-
Equation (x-12)/(x-4)=3/5
- Express {x} in terms of y where:
- -17*x+1*y=-11
- -17*x+18*y=10
- -6*x-10*y=19
- 6*x+17*y=-11
- Derivative of:
- 3/5
- Limit of the function:
-
3/5
-
Identical expressions
- (x- twelve)/(x- four)= three / five
- (x minus 12) divide by (x minus 4) equally 3 divide by 5
- (x minus twelve) divide by (x minus four) equally three divide by five
- x-12/x-4=3/5
- (x-12) divide by (x-4)=3 divide by 5
-
Similar expressions
- (x-12)/(x+4)=3/5
- (x+12)/(x-4)=3/5
- (x^2-x-12)/(x-4)=0
(x-12)/(x-4)=3/5 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation:
$$\frac{x - 12}{x - 4} = \frac{3}{5}$$
Multiply the equation sides by the denominator -4 + x
we get:
$$x - 12 = \frac{3 x}{5} - \frac{12}{5}$$
Move free summands (without x)
from left part to right part, we given:
$$x = \frac{3 x}{5} + \frac{48}{5}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{2 x}{5} = \frac{48}{5}$$
Divide both parts of the equation by 2/5
We get the answer: x = 24
$$\frac{x - 12}{x - 4} = \frac{3}{5}$$
Multiply the equation sides by the denominator -4 + x
we get:
$$x - 12 = \frac{3 x}{5} - \frac{12}{5}$$
Move free summands (without x)
from left part to right part, we given:
$$x = \frac{3 x}{5} + \frac{48}{5}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{2 x}{5} = \frac{48}{5}$$
Divide both parts of the equation by 2/5
x = 48/5 / (2/5)
We get the answer: x = 24
The graph