Mister exam

# 5a+8b=30. equation

A equation with variable:

#### Numerical solution:

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### The solution

You have entered [src]
5*a + 8*b = 30
$$5 a + 8 b = 30$$
Detail solution
Given the linear equation:
5*a+8*b = 30

Looking for similar summands in the left part:
5*a + 8*b = 30

Move the summands with the other variables
from left part to right part, we given:
$$5 a = 30 - 8 b$$
Divide both parts of the equation by 5
a = 30 - 8*b / (5)

We get the answer: a = 6 - 8*b/5
The graph
Rapid solution [src]
         8*re(b)   8*I*im(b)
a1 = 6 - ------- - ---------
5          5    
$$a_{1} = - \frac{8 \operatorname{re}{\left(b\right)}}{5} - \frac{8 i \operatorname{im}{\left(b\right)}}{5} + 6$$
a1 = -8*re(b)/5 - 8*i*im(b)/5 + 6
Sum and product of roots [src]
sum
    8*re(b)   8*I*im(b)
6 - ------- - ---------
5          5    
$$- \frac{8 \operatorname{re}{\left(b\right)}}{5} - \frac{8 i \operatorname{im}{\left(b\right)}}{5} + 6$$
=
    8*re(b)   8*I*im(b)
6 - ------- - ---------
5          5    
$$- \frac{8 \operatorname{re}{\left(b\right)}}{5} - \frac{8 i \operatorname{im}{\left(b\right)}}{5} + 6$$
product
    8*re(b)   8*I*im(b)
6 - ------- - ---------
5          5    
$$- \frac{8 \operatorname{re}{\left(b\right)}}{5} - \frac{8 i \operatorname{im}{\left(b\right)}}{5} + 6$$
=
    8*re(b)   8*I*im(b)
6 - ------- - ---------
5          5    
$$- \frac{8 \operatorname{re}{\left(b\right)}}{5} - \frac{8 i \operatorname{im}{\left(b\right)}}{5} + 6$$
6 - 8*re(b)/5 - 8*i*im(b)/5
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