Mister Exam
Other calculators
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How to use it?
- Express {x} in terms of y where:
- -20*x-7*y=-17
- -5*x-20*y=-7
- 15*x+12*y=-11
- 9*x+14*y=-5
- Equation:
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Equation x^3=3
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Equation sin(x)=√3/2
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Equation -4/7*x^2+28=0
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Equation 8,4(y-17,9)=4,2
- Sum of series:
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13
- Canonical form:
- 13
- Derivative of:
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13
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Identical expressions
- three *x- eight *y= thirteen
- 3 multiply by x minus 8 multiply by y equally 13
- three multiply by x minus eight multiply by y equally thirteen
- 3x-8y=13
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Similar expressions
- 3*x+8*y=13
Express x in terms of y where 3*x-8*y=13
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:
$$3 x = 8 y + 13$$
Divide both parts of the equation by 3
We get the answer: x = 13/3 + 8*y/3
3*x-8*y = 13
Looking for similar summands in the left part:
-8*y + 3*x = 13
Move the summands with the other variables
from left part to right part, we given:
$$3 x = 8 y + 13$$
Divide both parts of the equation by 3
x = 13 + 8*y / (3)
We get the answer: x = 13/3 + 8*y/3
Rapid solution
[src]
13 8*re(y) 8*I*im(y)
x1 = -- + ------- + ---------
3 3 3
$$x_{1} = \frac{8 \operatorname{re}{\left(y\right)}}{3} + \frac{8 i \operatorname{im}{\left(y\right)}}{3} + \frac{13}{3}$$
x1 = 8*re(y)/3 + 8*i*im(y)/3 + 13/3