Mister Exam
Other calculators
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How to use it?
- Express {x} in terms of y where:
- -8*x+10*y=19
- -18*x+19*y=2
- -17*x+10*y=6
- -16*x-17*y=4
- 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
- Sum of series:
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-6
- Limit of the function:
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-6
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Identical expressions
- six *x- fourteen *y=- six
- 6 multiply by x minus 14 multiply by y equally minus 6
- six multiply by x minus fourteen multiply by y equally minus six
- 6x-14y=-6
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Similar expressions
- 6*x+14*y=-6
- 6*x-14*y=+6
Express x in terms of y where 6*x-14*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:
$$6 x = 14 y - 6$$
Divide both parts of the equation by 6
We get the answer: x = -1 + 7*y/3
6*x-14*y = -6
Looking for similar summands in the left part:
-14*y + 6*x = -6
Move the summands with the other variables
from left part to right part, we given:
$$6 x = 14 y - 6$$
Divide both parts of the equation by 6
x = -6 + 14*y / (6)
We get the answer: x = -1 + 7*y/3
Rapid solution
[src]
7*re(y) 7*I*im(y)
x1 = -1 + ------- + ---------
3 3
$$x_{1} = \frac{7 \operatorname{re}{\left(y\right)}}{3} + \frac{7 i \operatorname{im}{\left(y\right)}}{3} - 1$$
x1 = 7*re(y)/3 + 7*i*im(y)/3 - 1