Mister Exam
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How to use it?
- Equation:
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Equation (x-11)/(x-6)=11/16
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Equation 3/4x=12
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Identical expressions
- (x- eleven)/(x- six)= eleven / sixteen
- (x minus 11) divide by (x minus 6) equally 11 divide by 16
- (x minus eleven) divide by (x minus six) equally eleven divide by sixteen
- x-11/x-6=11/16
- (x-11) divide by (x-6)=11 divide by 16
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Similar expressions
- (x-11)/(x+6)=11/16
- (x+11)/(x-6)=11/16
(x-11)/(x-6)=11/16 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation:
$$\frac{x - 11}{x - 6} = \frac{11}{16}$$
Multiply the equation sides by the denominator -6 + x
we get:
$$x - 11 = \frac{11 x}{16} - \frac{33}{8}$$
Move free summands (without x)
from left part to right part, we given:
$$x = \frac{11 x}{16} + \frac{55}{8}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{5 x}{16} = \frac{55}{8}$$
Divide both parts of the equation by 5/16
We get the answer: x = 22
$$\frac{x - 11}{x - 6} = \frac{11}{16}$$
Multiply the equation sides by the denominator -6 + x
we get:
$$x - 11 = \frac{11 x}{16} - \frac{33}{8}$$
Move free summands (without x)
from left part to right part, we given:
$$x = \frac{11 x}{16} + \frac{55}{8}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{5 x}{16} = \frac{55}{8}$$
Divide both parts of the equation by 5/16
x = 55/8 / (5/16)
We get the answer: x = 22
The graph