Mister Exam
Other calculators
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How to use it?
- Express {x} in terms of y where:
- 10*x+7*y=-13
- -1*x+9*y=12
- 10*x-19*y=-2
- -18*x+10*y=-11
- Equation:
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Equation x+5=12
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Equation -4x+9=-19
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Equation x^2+20*x+100=0
- Equation (6-4x)(x+9)=0
- -5
- Integral of d{x}:
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-5
- Derivative of:
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-5
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Identical expressions
- twenty *x+ one *y=- five
- 20 multiply by x plus 1 multiply by y equally minus 5
- twenty multiply by x plus one multiply by y equally minus five
- 20x+1y=-5
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Similar expressions
- 20*x+1*y=+5
- 20*x-1*y=-5
Express x in terms of y where 20*x+1*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:
$$20 x = - y - 5$$
Divide both parts of the equation by 20
We get the answer: x = -1/4 - y/20
20*x+1*y = -5
Looking for similar summands in the left part:
y + 20*x = -5
Move the summands with the other variables
from left part to right part, we given:
$$20 x = - y - 5$$
Divide both parts of the equation by 20
x = -5 - y / (20)
We get the answer: x = -1/4 - y/20
Rapid solution
[src]
1 re(y) I*im(y)
x1 = - - - ----- - -------
4 20 20
$$x_{1} = - \frac{\operatorname{re}{\left(y\right)}}{20} - \frac{i \operatorname{im}{\left(y\right)}}{20} - \frac{1}{4}$$
x1 = -re(y)/20 - i*im(y)/20 - 1/4