5x-4y=20 equation

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You have entered [src]

5*x - 4*y = 20

5 x - 4 y = 20

Simplify

Detail solution

Given the linear equation:

5*x-4*y = 20

Looking for similar summands in the left part:

-4*y + 5*x = 20

Move the summands with the other variables
from left part to right part, we given:

5 x = 4 y + 20

Divide both parts of the equation by 5

x = 20 + 4*y / (5)

We get the answer: x = 4 + 4*y/5

The graph

Rapid solution [src]

         4*re(y)   4*I*im(y)
x1 = 4 + ------- + ---------
            5          5

x_{1} = \frac{4 \operatorname{re}{\left(y\right)}}{5} + \frac{4 i \operatorname{im}{\left(y\right)}}{5} + 4

x1 = 4*re(y)/5 + 4*i*im(y)/5 + 4

Sum and product of roots [src]

sum

    4*re(y)   4*I*im(y)
4 + ------- + ---------
       5          5

\frac{4 \operatorname{re}{\left(y\right)}}{5} + \frac{4 i \operatorname{im}{\left(y\right)}}{5} + 4

    4*re(y)   4*I*im(y)
4 + ------- + ---------
       5          5

\frac{4 \operatorname{re}{\left(y\right)}}{5} + \frac{4 i \operatorname{im}{\left(y\right)}}{5} + 4

product

    4*re(y)   4*I*im(y)
4 + ------- + ---------
       5          5

\frac{4 \operatorname{re}{\left(y\right)}}{5} + \frac{4 i \operatorname{im}{\left(y\right)}}{5} + 4

    4*re(y)   4*I*im(y)
4 + ------- + ---------
       5          5

\frac{4 \operatorname{re}{\left(y\right)}}{5} + \frac{4 i \operatorname{im}{\left(y\right)}}{5} + 4

4 + 4*re(y)/5 + 4*i*im(y)/5