Mister Exam
Other calculators
-
How to use it?
- Express {x} in terms of y where:
- -14*x-5*y=-3
- -8*x+18*y=-20
- -5*x-20*y=-10
- -1*x+9*y=16
- Equation:
-
Equation sinx=1
-
Equation x^2+5*x-14=0
-
Equation x+4|x|=3
-
Equation x^2+2*x=0
- Sum of series:
-
-8
- Limit of the function:
- -8
- Integral of d{x}:
-
-8
-
Identical expressions
- thirteen *x- ten *y=- eight
- 13 multiply by x minus 10 multiply by y equally minus 8
- thirteen multiply by x minus ten multiply by y equally minus eight
- 13x-10y=-8
-
Similar expressions
- 13*x+10*y=-8
- 13*x-10*y=+8
Express x in terms of y where 13*x-10*y=-8
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:
$$13 x = 10 y - 8$$
Divide both parts of the equation by 13
We get the answer: x = -8/13 + 10*y/13
13*x-10*y = -8
Looking for similar summands in the left part:
-10*y + 13*x = -8
Move the summands with the other variables
from left part to right part, we given:
$$13 x = 10 y - 8$$
Divide both parts of the equation by 13
x = -8 + 10*y / (13)
We get the answer: x = -8/13 + 10*y/13
Rapid solution
[src]
8 10*re(y) 10*I*im(y)
x1 = - -- + -------- + ----------
13 13 13
$$x_{1} = \frac{10 \operatorname{re}{\left(y\right)}}{13} + \frac{10 i \operatorname{im}{\left(y\right)}}{13} - \frac{8}{13}$$
x1 = 10*re(y)/13 + 10*i*im(y)/13 - 8/13