Mister Exam

Lang:

4x+2y=10 equation

The teacher will be very surprised to see your correct solution 😉

You have entered [src]

4*x + 2*y = 10

$$4 x + 2 y = 10$$

Simplify

Detail solution

Given the linear equation:

4*x+2*y = 10

Looking for similar summands in the left part:

2*y + 4*x = 10

Move the summands with the other variables
from left part to right part, we given:
$$4 x = 10 - 2 y$$
Divide both parts of the equation by 4

x = 10 - 2*y / (4)

We get the answer: x = 5/2 - y/2

The graph

Sum and product of roots [src]

sum

5   re(y)   I*im(y)
- - ----- - -------
2     2        2

$$- \frac{\operatorname{re}{\left(y\right)}}{2} - \frac{i \operatorname{im}{\left(y\right)}}{2} + \frac{5}{2}$$

5   re(y)   I*im(y)
- - ----- - -------
2     2        2

$$- \frac{\operatorname{re}{\left(y\right)}}{2} - \frac{i \operatorname{im}{\left(y\right)}}{2} + \frac{5}{2}$$

product

5   re(y)   I*im(y)
- - ----- - -------
2     2        2

$$- \frac{\operatorname{re}{\left(y\right)}}{2} - \frac{i \operatorname{im}{\left(y\right)}}{2} + \frac{5}{2}$$

5   re(y)   I*im(y)
- - ----- - -------
2     2        2

$$- \frac{\operatorname{re}{\left(y\right)}}{2} - \frac{i \operatorname{im}{\left(y\right)}}{2} + \frac{5}{2}$$

5/2 - re(y)/2 - i*im(y)/2

Rapid solution [src]

     5   re(y)   I*im(y)
x1 = - - ----- - -------
     2     2        2

$$x_{1} = - \frac{\operatorname{re}{\left(y\right)}}{2} - \frac{i \operatorname{im}{\left(y\right)}}{2} + \frac{5}{2}$$

x1 = -re(y)/2 - i*im(y)/2 + 5/2