Mister Exam
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How to use it?
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Identical expressions
- fifteen *x- three *y= nine
- 15 multiply by x minus 3 multiply by y equally 9
- fifteen multiply by x minus three multiply by y equally nine
- 15x-3y=9
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Similar expressions
- 15*x+3*y=9
15*x-3*y=9 equation
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:
$$15 x = 3 y + 9$$
Divide both parts of the equation by 15
We get the answer: x = 3/5 + y/5
15*x-3*y = 9
Looking for similar summands in the left part:
-3*y + 15*x = 9
Move the summands with the other variables
from left part to right part, we given:
$$15 x = 3 y + 9$$
Divide both parts of the equation by 15
x = 9 + 3*y / (15)
We get the answer: x = 3/5 + y/5
The graph
Rapid solution
[src]
3 re(y) I*im(y)
x1 = - + ----- + -------
5 5 5
$$x_{1} = \frac{\operatorname{re}{\left(y\right)}}{5} + \frac{i \operatorname{im}{\left(y\right)}}{5} + \frac{3}{5}$$
x1 = re(y)/5 + i*im(y)/5 + 3/5
Sum and product of roots
[src]
sum
3 re(y) I*im(y) - + ----- + ------- 5 5 5
$$\frac{\operatorname{re}{\left(y\right)}}{5} + \frac{i \operatorname{im}{\left(y\right)}}{5} + \frac{3}{5}$$
=
3 re(y) I*im(y) - + ----- + ------- 5 5 5
$$\frac{\operatorname{re}{\left(y\right)}}{5} + \frac{i \operatorname{im}{\left(y\right)}}{5} + \frac{3}{5}$$
product
3 re(y) I*im(y) - + ----- + ------- 5 5 5
$$\frac{\operatorname{re}{\left(y\right)}}{5} + \frac{i \operatorname{im}{\left(y\right)}}{5} + \frac{3}{5}$$
=
3 re(y) I*im(y) - + ----- + ------- 5 5 5
$$\frac{\operatorname{re}{\left(y\right)}}{5} + \frac{i \operatorname{im}{\left(y\right)}}{5} + \frac{3}{5}$$
3/5 + re(y)/5 + i*im(y)/5