Mister Exam
Other calculators
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How to use it?
- Express {x} in terms of y where:
- 18*x-8*y=-2
- 4*x+2*y=5
- 1*x+10*y=-18
- 18*x-11*y=2
- Equation:
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Equation x/9+x=-10/3
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Equation z^4+1=0
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Equation (x-5)^2=(x+10)^2
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Equation -3x-9=2x
- Integral of d{x}:
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-3
- Derivative of:
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-3
- Sum of series:
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-3
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Identical expressions
- twenty *x+ five *y=- three
- 20 multiply by x plus 5 multiply by y equally minus 3
- twenty multiply by x plus five multiply by y equally minus three
- 20x+5y=-3
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Similar expressions
- 20*x+5*y=+3
- 20*x-5*y=-3
Express x in terms of y where 20*x+5*y=-3
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:
$$20 x = - 5 y - 3$$
Divide both parts of the equation by 20
We get the answer: x = -3/20 - y/4
20*x+5*y = -3
Looking for similar summands in the left part:
5*y + 20*x = -3
Move the summands with the other variables
from left part to right part, we given:
$$20 x = - 5 y - 3$$
Divide both parts of the equation by 20
x = -3 - 5*y / (20)
We get the answer: x = -3/20 - y/4
Rapid solution
[src]
3 re(y) I*im(y)
x1 = - -- - ----- - -------
20 4 4
$$x_{1} = - \frac{\operatorname{re}{\left(y\right)}}{4} - \frac{i \operatorname{im}{\left(y\right)}}{4} - \frac{3}{20}$$
x1 = -re(y)/4 - i*im(y)/4 - 3/20