Mister Exam
Other calculators
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How to use it?
- Express {x} in terms of y where:
- 7*x-2*y=18
- -1*x-6*y=18
- 6*x-19*y=-18
- 10*x-5*y=3
- Equation:
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Equation |x|=-2
- Equation x+y-3=0
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Equation 2^x=6-x
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Equation 80-x=9*5
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Identical expressions
- ten *x- five *y= three
- 10 multiply by x minus 5 multiply by y equally 3
- ten multiply by x minus five multiply by y equally three
- 10x-5y=3
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Similar expressions
- 10*x+5*y=3
Express x in terms of y where 10*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:
$$10 x = 5 y + 3$$
Divide both parts of the equation by 10
We get the answer: x = 3/10 + y/2
10*x-5*y = 3
Looking for similar summands in the left part:
-5*y + 10*x = 3
Move the summands with the other variables
from left part to right part, we given:
$$10 x = 5 y + 3$$
Divide both parts of the equation by 10
x = 3 + 5*y / (10)
We get the answer: x = 3/10 + y/2
Rapid solution
[src]
3 re(y) I*im(y)
x1 = -- + ----- + -------
10 2 2
$$x_{1} = \frac{\operatorname{re}{\left(y\right)}}{2} + \frac{i \operatorname{im}{\left(y\right)}}{2} + \frac{3}{10}$$
x1 = re(y)/2 + i*im(y)/2 + 3/10