Mister Exam
Other calculators
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How to use it?
- Express {x} in terms of y where:
- 15*x-5*y=-5
- 18*x+20*y=-2
- -5*x-6*y=-1
- 4*x+12*y=-11
- Equation:
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Equation 5^x=125
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Equation -x=2
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Equation -2*x-4=3*x
- Equation x+y=4
- Limit of the function:
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-5
- -5
- Derivative of:
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-5
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Identical expressions
- fifteen *x- five *y=- five
- 15 multiply by x minus 5 multiply by y equally minus 5
- fifteen multiply by x minus five multiply by y equally minus five
- 15x-5y=-5
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Similar expressions
- 15*x+5*y=-5
- 15*x-5*y=+5
Express x in terms of y where 15*x-5*y=-5
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the linear equation:
Looking for similar summands in the left part:
Move the summands with the other variables
from left part to right part, we given:
$$15 x = 5 y - 5$$
Divide both parts of the equation by 15
We get the answer: x = -1/3 + y/3
15*x-5*y = -5
Looking for similar summands in the left part:
-5*y + 15*x = -5
Move the summands with the other variables
from left part to right part, we given:
$$15 x = 5 y - 5$$
Divide both parts of the equation by 15
x = -5 + 5*y / (15)
We get the answer: x = -1/3 + y/3
Rapid solution
[src]
1 re(y) I*im(y)
x1 = - - + ----- + -------
3 3 3
$$x_{1} = \frac{\operatorname{re}{\left(y\right)}}{3} + \frac{i \operatorname{im}{\left(y\right)}}{3} - \frac{1}{3}$$
x1 = re(y)/3 + i*im(y)/3 - 1/3