Mister Exam
7*x+y=2 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:
$$7 x = 2 - y$$
Divide both parts of the equation by 7
We get the answer: x = 2/7 - y/7
7*x+y = 2
Looking for similar summands in the left part:
y + 7*x = 2
Move the summands with the other variables
from left part to right part, we given:
$$7 x = 2 - y$$
Divide both parts of the equation by 7
x = 2 - y / (7)
We get the answer: x = 2/7 - y/7
The graph
Sum and product of roots
[src]
sum
2 re(y) I*im(y) - - ----- - ------- 7 7 7
$$- \frac{\operatorname{re}{\left(y\right)}}{7} - \frac{i \operatorname{im}{\left(y\right)}}{7} + \frac{2}{7}$$
=
2 re(y) I*im(y) - - ----- - ------- 7 7 7
$$- \frac{\operatorname{re}{\left(y\right)}}{7} - \frac{i \operatorname{im}{\left(y\right)}}{7} + \frac{2}{7}$$
product
2 re(y) I*im(y) - - ----- - ------- 7 7 7
$$- \frac{\operatorname{re}{\left(y\right)}}{7} - \frac{i \operatorname{im}{\left(y\right)}}{7} + \frac{2}{7}$$
=
2 re(y) I*im(y) - - ----- - ------- 7 7 7
$$- \frac{\operatorname{re}{\left(y\right)}}{7} - \frac{i \operatorname{im}{\left(y\right)}}{7} + \frac{2}{7}$$
2/7 - re(y)/7 - i*im(y)/7
Rapid solution
[src]
2 re(y) I*im(y)
x1 = - - ----- - -------
7 7 7
$$x_{1} = - \frac{\operatorname{re}{\left(y\right)}}{7} - \frac{i \operatorname{im}{\left(y\right)}}{7} + \frac{2}{7}$$
x1 = -re(y)/7 - i*im(y)/7 + 2/7