Mister Exam
Other calculators
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How to use it?
- Express {x} in terms of y where:
- 3*x+2*y=-4
- 12*x-2*y=17
- -13*x-14*y=0
- 9*x+1*y=-18
- 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 (x-4)/(x-6)=2
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Equation x^2-11*x+28=0
- Sum of series:
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-6
- Limit of the function:
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-6
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Identical expressions
- three *x- six *y=- six
- 3 multiply by x minus 6 multiply by y equally minus 6
- three multiply by x minus six multiply by y equally minus six
- 3x-6y=-6
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Similar expressions
- 3*x+6*y=-6
- 3*x-6*y=+6
Express x in terms of y where 3*x-6*y=-6
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:
$$3 x = 6 y - 6$$
Divide both parts of the equation by 3
We get the answer: x = -2 + 2*y
3*x-6*y = -6
Looking for similar summands in the left part:
-6*y + 3*x = -6
Move the summands with the other variables
from left part to right part, we given:
$$3 x = 6 y - 6$$
Divide both parts of the equation by 3
x = -6 + 6*y / (3)
We get the answer: x = -2 + 2*y
Rapid solution
[src]
x1 = -2 + 2*re(y) + 2*I*im(y)
$$x_{1} = 2 \operatorname{re}{\left(y\right)} + 2 i \operatorname{im}{\left(y\right)} - 2$$
x1 = 2*re(y) + 2*i*im(y) - 2