Mister Exam

Other calculators

x+2y=-92x-y=2 equation

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

v

Numerical solution:

Do search numerical solution at [, ]

The solution

You have entered [src] 
x + 2*y = -92*x - y
$$x + 2 y = - 92 x - y$$
Simplify
Detail solution
Given the linear equation:
x+2*y = -92*x-y

Looking for similar summands in the left part:
x + 2*y = -92*x-y

Looking for similar summands in the right part:
x + 2*y = -y - 92*x

Move the summands with the other variables
from left part to right part, we given:
$$x = - 92 x - 3 y$$
Move the summands with the unknown x
from the right part to the left part:
$$93 x = \left(-3\right) y$$
Divide both parts of the equation by 93
x = -3*y / (93)

We get the answer: x = -y/31
The graph
Sum and product of roots [src] 
sum
  re(y)   I*im(y)
- ----- - -------
    31       31
$$- \frac{\operatorname{re}{\left(y\right)}}{31} - \frac{i \operatorname{im}{\left(y\right)}}{31}$$ 
=
  re(y)   I*im(y)
- ----- - -------
    31       31
$$- \frac{\operatorname{re}{\left(y\right)}}{31} - \frac{i \operatorname{im}{\left(y\right)}}{31}$$ 
product
  re(y)   I*im(y)
- ----- - -------
    31       31
$$- \frac{\operatorname{re}{\left(y\right)}}{31} - \frac{i \operatorname{im}{\left(y\right)}}{31}$$ 
=
  re(y)   I*im(y)
- ----- - -------
    31       31
$$- \frac{\operatorname{re}{\left(y\right)}}{31} - \frac{i \operatorname{im}{\left(y\right)}}{31}$$ 
-re(y)/31 - i*im(y)/31
Rapid solution [src] 
       re(y)   I*im(y)
x1 = - ----- - -------
         31       31
$$x_{1} = - \frac{\operatorname{re}{\left(y\right)}}{31} - \frac{i \operatorname{im}{\left(y\right)}}{31}$$ 
x1 = -re(y)/31 - i*im(y)/31
    © Mister Exam – Calculator