Mister Exam
Other calculators
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How to use it?
- Express {x} in terms of y where:
- -6*x+11*y=-5
- -3*x-19*y=-9
- -19*x-15*y=15
- 16*x+14*y=-14
- Equation:
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Equation x^3=3
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Equation 5-x^2=0
- Equation (-5*x+3)*(-x+8)=0
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Equation x^2+6=5x
- Sum of series:
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13
- Derivative of:
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13
- Canonical form:
- 13
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Identical expressions
- fifteen *x- ten *y= thirteen
- 15 multiply by x minus 10 multiply by y equally 13
- fifteen multiply by x minus ten multiply by y equally thirteen
- 15x-10y=13
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Similar expressions
- 15*x+10*y=13
Express x in terms of y where 15*x-10*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:
$$15 x = 10 y + 13$$
Divide both parts of the equation by 15
We get the answer: x = 13/15 + 2*y/3
15*x-10*y = 13
Looking for similar summands in the left part:
-10*y + 15*x = 13
Move the summands with the other variables
from left part to right part, we given:
$$15 x = 10 y + 13$$
Divide both parts of the equation by 15
x = 13 + 10*y / (15)
We get the answer: x = 13/15 + 2*y/3
Rapid solution
[src]
13 2*re(y) 2*I*im(y)
x1 = -- + ------- + ---------
15 3 3
$$x_{1} = \frac{2 \operatorname{re}{\left(y\right)}}{3} + \frac{2 i \operatorname{im}{\left(y\right)}}{3} + \frac{13}{15}$$
x1 = 2*re(y)/3 + 2*i*im(y)/3 + 13/15