Mister Exam
Other calculators
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How to use it?
- Express {x} in terms of y where:
- 10*x+13*y=-12
- 8*x+12*y=-18
- -8*x-13*y=-17
- -5*x+5*y=13
- Equation:
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Equation 2x^2-x=0
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Equation 4*x-8=x+1
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Equation 4*x^2-13*x+3=0
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Equation 3*x^2+6*x+3=0
- Sum of series:
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16
- Derivative of:
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16
- Integral of d{x}:
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16
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Identical expressions
- eighteen *x- five *y= sixteen
- 18 multiply by x minus 5 multiply by y equally 16
- eighteen multiply by x minus five multiply by y equally sixteen
- 18x-5y=16
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Similar expressions
- 18*x+5*y=16
Express x in terms of y where 18*x-5*y=16
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:
$$18 x = 5 y + 16$$
Divide both parts of the equation by 18
We get the answer: x = 8/9 + 5*y/18
18*x-5*y = 16
Looking for similar summands in the left part:
-5*y + 18*x = 16
Move the summands with the other variables
from left part to right part, we given:
$$18 x = 5 y + 16$$
Divide both parts of the equation by 18
x = 16 + 5*y / (18)
We get the answer: x = 8/9 + 5*y/18
Rapid solution
[src]
8 5*re(y) 5*I*im(y)
x1 = - + ------- + ---------
9 18 18
$$x_{1} = \frac{5 \operatorname{re}{\left(y\right)}}{18} + \frac{5 i \operatorname{im}{\left(y\right)}}{18} + \frac{8}{9}$$
x1 = 5*re(y)/18 + 5*i*im(y)/18 + 8/9