Mister Exam
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How to use it?
- Express {x} in terms of y where:
- 4*x+8*y=7
- -14*x+5*y=3
- 13*x-18*y=-17
- 4*x+18*y=-7
- Equation:
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Equation x/4+13=x+1
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Equation 4(x-8)=-5
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Equation 5(x-2)^2=-6x-44
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Equation 2^x=5
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Identical expressions
- thirteen *x- eighteen *y=- seventeen
- 13 multiply by x minus 18 multiply by y equally minus 17
- thirteen multiply by x minus eighteen multiply by y equally minus seventeen
- 13x-18y=-17
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Similar expressions
- 13*x+18*y=-17
- 13*x-18*y=+17
Express x in terms of y where 13*x-18*y=-17
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:
$$13 x = 18 y - 17$$
Divide both parts of the equation by 13
We get the answer: x = -17/13 + 18*y/13
13*x-18*y = -17
Looking for similar summands in the left part:
-18*y + 13*x = -17
Move the summands with the other variables
from left part to right part, we given:
$$13 x = 18 y - 17$$
Divide both parts of the equation by 13
x = -17 + 18*y / (13)
We get the answer: x = -17/13 + 18*y/13
Rapid solution
[src]
17 18*re(y) 18*I*im(y)
x1 = - -- + -------- + ----------
13 13 13
$$x_{1} = \frac{18 \operatorname{re}{\left(y\right)}}{13} + \frac{18 i \operatorname{im}{\left(y\right)}}{13} - \frac{17}{13}$$
x1 = 18*re(y)/13 + 18*i*im(y)/13 - 17/13