Mister Exam
Other calculators
-
How to use it?
- Express {x} in terms of y where:
- -5*x-2*y=9
- -10*x-12*y=-10
- 8*x+1*y=4
- 20*x-16*y=7
- Equation:
-
Equation cos(x)-1=0
-
Equation 2*x^2+5*x-12=0
-
Equation x^2-35=2x
-
Equation 9(x-5)=-x
-
Identical expressions
- thirteen *x- one *y=- twenty
- 13 multiply by x minus 1 multiply by y equally minus 20
- thirteen multiply by x minus one multiply by y equally minus twenty
- 13x-1y=-20
-
Similar expressions
- 13*x+1*y=-20
- 13*x-1*y=+20
Express x in terms of y where 13*x-1*y=-20
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:
$$13 x = y - 20$$
Divide both parts of the equation by 13
We get the answer: x = -20/13 + y/13
13*x-1*y = -20
Looking for similar summands in the left part:
-y + 13*x = -20
Move the summands with the other variables
from left part to right part, we given:
$$13 x = y - 20$$
Divide both parts of the equation by 13
x = -20 + y / (13)
We get the answer: x = -20/13 + y/13
Rapid solution
[src]
20 re(y) I*im(y)
x1 = - -- + ----- + -------
13 13 13
$$x_{1} = \frac{\operatorname{re}{\left(y\right)}}{13} + \frac{i \operatorname{im}{\left(y\right)}}{13} - \frac{20}{13}$$
x1 = re(y)/13 + i*im(y)/13 - 20/13