Mister Exam
Other calculators
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How to use it?
- Express {x} in terms of y where:
- -15*x-2*y=19
- -19*x-6*y=10
- 19*x-6*y=0
- -3*x-10*y=-4
- Equation:
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Equation sin(x)=0
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Equation -2*(-2-y)-y-2=0
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Equation 2*x^2+18*x=0
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Equation sin(5*x)=-1
- -12
- Limit of the function:
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-12
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Identical expressions
- twelve *x- thirteen *y=- twelve
- 12 multiply by x minus 13 multiply by y equally minus 12
- twelve multiply by x minus thirteen multiply by y equally minus twelve
- 12x-13y=-12
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Similar expressions
- 12*x+13*y=-12
- 12*x-13*y=+12
Express x in terms of y where 12*x-13*y=-12
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:
$$12 x = 13 y - 12$$
Divide both parts of the equation by 12
We get the answer: x = -1 + 13*y/12
12*x-13*y = -12
Looking for similar summands in the left part:
-13*y + 12*x = -12
Move the summands with the other variables
from left part to right part, we given:
$$12 x = 13 y - 12$$
Divide both parts of the equation by 12
x = -12 + 13*y / (12)
We get the answer: x = -1 + 13*y/12
Rapid solution
[src]
13*re(y) 13*I*im(y)
x1 = -1 + -------- + ----------
12 12
$$x_{1} = \frac{13 \operatorname{re}{\left(y\right)}}{12} + \frac{13 i \operatorname{im}{\left(y\right)}}{12} - 1$$
x1 = 13*re(y)/12 + 13*i*im(y)/12 - 1