Mister Exam
Other calculators
-
How to use it?
- Express {x} in terms of y where:
- 7*x-2*y=18
- 18*x+19*y=7
- 8*x-13*y=-12
- -10*x+13*y=5
- Equation:
-
Equation 2*x^2+5*x-12=0
-
Equation x^2+2x-8=0
-
Equation 6x+2=-1
-
Equation e^x=1
- Limit of the function:
-
-5
- -5
- Derivative of:
-
-5
-
Identical expressions
- - six *x+ one *y=- five
- minus 6 multiply by x plus 1 multiply by y equally minus 5
- minus six multiply by x plus one multiply by y equally minus five
- -6x+1y=-5
-
Similar expressions
- 6*x+1*y=-5
- -6*x+1*y=+5
- -6*x-1*y=-5
Express x in terms of y where -6*x+1*y=-5
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:
$$- 6 x = - y - 5$$
Divide both parts of the equation by -6
We get the answer: x = 5/6 + y/6
-6*x+1*y = -5
Looking for similar summands in the left part:
y - 6*x = -5
Move the summands with the other variables
from left part to right part, we given:
$$- 6 x = - y - 5$$
Divide both parts of the equation by -6
x = -5 - y / (-6)
We get the answer: x = 5/6 + y/6
Rapid solution
[src]
5 re(y) I*im(y)
x1 = - + ----- + -------
6 6 6
$$x_{1} = \frac{\operatorname{re}{\left(y\right)}}{6} + \frac{i \operatorname{im}{\left(y\right)}}{6} + \frac{5}{6}$$
x1 = re(y)/6 + i*im(y)/6 + 5/6