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
- -17*x-15*y=-17
- Equation:
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Equation 2^x=6-x
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Equation x+12=5
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Equation x^3=4
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Equation x^2+2x+2=0
- Integral of d{x}:
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-1
- Derivative of:
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-1
- Limit of the function:
- -1
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Identical expressions
- five *x- six *y=- one
- 5 multiply by x minus 6 multiply by y equally minus 1
- five multiply by x minus six multiply by y equally minus one
- 5x-6y=-1
-
Similar expressions
- 5*x+6*y=-1
- 5*x-6*y=+1
Express x in terms of y where 5*x-6*y=-1
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:
$$5 x = 6 y - 1$$
Divide both parts of the equation by 5
We get the answer: x = -1/5 + 6*y/5
5*x-6*y = -1
Looking for similar summands in the left part:
-6*y + 5*x = -1
Move the summands with the other variables
from left part to right part, we given:
$$5 x = 6 y - 1$$
Divide both parts of the equation by 5
x = -1 + 6*y / (5)
We get the answer: x = -1/5 + 6*y/5
Rapid solution
[src]
1 6*re(y) 6*I*im(y)
x1 = - - + ------- + ---------
5 5 5
$$x_{1} = \frac{6 \operatorname{re}{\left(y\right)}}{5} + \frac{6 i \operatorname{im}{\left(y\right)}}{5} - \frac{1}{5}$$
x1 = 6*re(y)/5 + 6*i*im(y)/5 - 1/5