Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation (x-5)/2=2*(3x/7-1/2)/3
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Equation 3*x^2-3=0
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Equation cos(x)=(-1)/sqrt(2)
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Equation (x^2-1)/(x^2+1)=0
- Express {x} in terms of y where:
- 18*x-20*y=-7
- 1*x-6*y=-19
- -19*x-14*y=-8
- -13*x+7*y=11
- Graphing y =:
- (x-5)/2
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Identical expressions
- (x- five)/ two = two *(three x/ seven - one / two)/3
- (x minus 5) divide by 2 equally 2 multiply by (3x divide by 7 minus 1 divide by 2) divide by 3
- (x minus five) divide by two equally two multiply by (three x divide by seven minus one divide by two) divide by 3
- (x-5)/2=2(3x/7-1/2)/3
- x-5/2=23x/7-1/2/3
- (x-5) divide by 2=2*(3x divide by 7-1 divide by 2) divide by 3
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Similar expressions
- (x+5)/2=2*(3x/7-1/2)/3
- (x-5)/2=2*(3x/7+1/2)/3
- x-3/9=4x-5/2
- (x-5)/2=2*(3*x/7-1/2)/3
- sin(x-5/2)+1=0
- (4x-5)/2=(5+5x)/5
(x-5)/2=2*(3x/7-1/2)/3 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
/3*x 1\
2*|--- - -|
x - 5 \ 7 2/
----- = -----------
2 3
$$\frac{x - 5}{2} = \frac{2 \left(\frac{3 x}{7} - \frac{1}{2}\right)}{3}$$
Detail solution
Given the linear equation:
Expand brackets in the left part
Expand brackets in the right part
Move free summands (without x)
from left part to right part, we given:
$$\frac{x}{2} = \frac{2 x}{7} + \frac{13}{6}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{3 x}{14} = \frac{13}{6}$$
Divide both parts of the equation by 3/14
We get the answer: x = 91/9
(x-5)/2 = 2*(3*x/7-1/2)/3
Expand brackets in the left part
x/2-5/2 = 2*(3*x/7-1/2)/3
Expand brackets in the right part
x/2-5/2 = 2*3*x/7/3-2*1/2/3
Move free summands (without x)
from left part to right part, we given:
$$\frac{x}{2} = \frac{2 x}{7} + \frac{13}{6}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{3 x}{14} = \frac{13}{6}$$
Divide both parts of the equation by 3/14
x = 13/6 / (3/14)
We get the answer: x = 91/9
Sum and product of roots
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sum
91/9
$$\frac{91}{9}$$
=
91/9
$$\frac{91}{9}$$
product
91/9
$$\frac{91}{9}$$
=
91/9
$$\frac{91}{9}$$
91/9
The graph