Mister Exam
Other calculators
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How to use it?
- Express {x} in terms of y where:
- 2*x+2*y=-6
- 7*x+20*y=-17
- 12*x+14*y=-15
- -11*x+10*y=-9
- Equation:
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Equation (x+2)^2=(1-x)^2
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Equation 2*cos(x)+1=0
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Equation 3-x/7=x/3
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Equation x^2=-2
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Identical expressions
- twelve *x- thirteen *y=- fourteen
- 12 multiply by x minus 13 multiply by y equally minus 14
- twelve multiply by x minus thirteen multiply by y equally minus fourteen
- 12x-13y=-14
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Similar expressions
- 12*x-13*y=+14
- 12*x+13*y=-14
Express x in terms of y where 12*x-13*y=-14
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:
$$12 x = 13 y - 14$$
Divide both parts of the equation by 12
We get the answer: x = -7/6 + 13*y/12
12*x-13*y = -14
Looking for similar summands in the left part:
-13*y + 12*x = -14
Move the summands with the other variables
from left part to right part, we given:
$$12 x = 13 y - 14$$
Divide both parts of the equation by 12
x = -14 + 13*y / (12)
We get the answer: x = -7/6 + 13*y/12
Rapid solution
[src]
7 13*re(y) 13*I*im(y)
x1 = - - + -------- + ----------
6 12 12
$$x_{1} = \frac{13 \operatorname{re}{\left(y\right)}}{12} + \frac{13 i \operatorname{im}{\left(y\right)}}{12} - \frac{7}{6}$$
x1 = 13*re(y)/12 + 13*i*im(y)/12 - 7/6