Mister Exam
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How to use it?
- Express {x} in terms of y where:
- 10*x+5*y=-17
- 14*x+16*y=-3
- -19*x+1*y=0
- 10*x+18*y=6
- Equation:
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Equation x^2+9=(x+9)^2
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Equation cos(x)=-1
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Equation 3*x+50=77
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Equation 5-2(x-1)=4-x
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Identical expressions
- ten *x+ five *y=- seventeen
- 10 multiply by x plus 5 multiply by y equally minus 17
- ten multiply by x plus five multiply by y equally minus seventeen
- 10x+5y=-17
-
Similar expressions
- 10*x+5*y=+17
- 10*x-5*y=-17
Express x in terms of y where 10*x+5*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:
$$10 x = - 5 y - 17$$
Divide both parts of the equation by 10
We get the answer: x = -17/10 - y/2
10*x+5*y = -17
Looking for similar summands in the left part:
5*y + 10*x = -17
Move the summands with the other variables
from left part to right part, we given:
$$10 x = - 5 y - 17$$
Divide both parts of the equation by 10
x = -17 - 5*y / (10)
We get the answer: x = -17/10 - y/2
Rapid solution
[src]
17 re(y) I*im(y)
x1 = - -- - ----- - -------
10 2 2
$$x_{1} = - \frac{\operatorname{re}{\left(y\right)}}{2} - \frac{i \operatorname{im}{\left(y\right)}}{2} - \frac{17}{10}$$
x1 = -re(y)/2 - i*im(y)/2 - 17/10