Mister Exam
Other calculators
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How to use it?
- Express {x} in terms of y where:
- -8*x+10*y=19
- -5*x+3*y=10
- -18*x+19*y=2
- -17*x+10*y=6
- Equation:
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Equation x^2+2x+1=0
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Equation cos(x/2)=1/2
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Equation sin(x)=1,5
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Equation 4*x^2-20*x=0
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Identical expressions
- - ten *x+ one *y= one
- minus 10 multiply by x plus 1 multiply by y equally 1
- minus ten multiply by x plus one multiply by y equally one
- -10x+1y=1
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Similar expressions
- -10*x-1*y=1
- 10*x+1*y=1
Express x in terms of y where -10*x+1*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:
$$- 10 x = 1 - y$$
Divide both parts of the equation by -10
We get the answer: x = -1/10 + y/10
-10*x+1*y = 1
Looking for similar summands in the left part:
y - 10*x = 1
Move the summands with the other variables
from left part to right part, we given:
$$- 10 x = 1 - y$$
Divide both parts of the equation by -10
x = 1 - y / (-10)
We get the answer: x = -1/10 + y/10
Rapid solution
[src]
1 re(y) I*im(y)
x1 = - -- + ----- + -------
10 10 10
$$x_{1} = \frac{\operatorname{re}{\left(y\right)}}{10} + \frac{i \operatorname{im}{\left(y\right)}}{10} - \frac{1}{10}$$
x1 = re(y)/10 + i*im(y)/10 - 1/10