Mister Exam
Other calculators
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How to use it?
- Express {x} in terms of y where:
- 7*x-1*y=-7
- 10*x-15*y=16
- -14*x-12*y=5
- 13*x-12*y=19
- Equation:
- Equation x-y=7
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Equation 1/(x+6)=2
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Equation (x-4)^2-x^2=0
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Equation 6/(x+5)=-5
- Sum of series:
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16
- Integral of d{x}:
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16
- Derivative of:
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16
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Identical expressions
- ten *x- fifteen *y= sixteen
- 10 multiply by x minus 15 multiply by y equally 16
- ten multiply by x minus fifteen multiply by y equally sixteen
- 10x-15y=16
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Similar expressions
- 10*x+15*y=16
Express x in terms of y where 10*x-15*y=16
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:
$$10 x = 15 y + 16$$
Divide both parts of the equation by 10
We get the answer: x = 8/5 + 3*y/2
10*x-15*y = 16
Looking for similar summands in the left part:
-15*y + 10*x = 16
Move the summands with the other variables
from left part to right part, we given:
$$10 x = 15 y + 16$$
Divide both parts of the equation by 10
x = 16 + 15*y / (10)
We get the answer: x = 8/5 + 3*y/2
Rapid solution
[src]
8 3*re(y) 3*I*im(y)
x1 = - + ------- + ---------
5 2 2
$$x_{1} = \frac{3 \operatorname{re}{\left(y\right)}}{2} + \frac{3 i \operatorname{im}{\left(y\right)}}{2} + \frac{8}{5}$$
x1 = 3*re(y)/2 + 3*i*im(y)/2 + 8/5