Mister Exam
Other calculators
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How to use it?
- Express {x} in terms of y where:
- -7*x-5*y=-17
- -4*x+19*y=-3
- -1*x-11*y=19
- -1*x-5*y=-4
- Equation:
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Equation x²-4x+3=0
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Equation 12-y+2=0
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Equation -2*x^2/(x^2-1)^2+1/(x^2-1)=0
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Equation x^3+9*x^2+27*x+27=0
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Identical expressions
- three *x- one *y= three
- 3 multiply by x minus 1 multiply by y equally 3
- three multiply by x minus one multiply by y equally three
- 3x-1y=3
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Similar expressions
- 3*x+1*y=3
Express x in terms of y where 3*x-1*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:
$$3 x = y + 3$$
Divide both parts of the equation by 3
We get the answer: x = 1 + y/3
3*x-1*y = 3
Looking for similar summands in the left part:
-y + 3*x = 3
Move the summands with the other variables
from left part to right part, we given:
$$3 x = y + 3$$
Divide both parts of the equation by 3
x = 3 + y / (3)
We get the answer: x = 1 + y/3
Rapid solution
[src]
re(y) I*im(y)
x1 = 1 + ----- + -------
3 3
$$x_{1} = \frac{\operatorname{re}{\left(y\right)}}{3} + \frac{i \operatorname{im}{\left(y\right)}}{3} + 1$$
x1 = re(y)/3 + i*im(y)/3 + 1