Mister Exam
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How to use it?
- Express {x} in terms of y where:
- 4*x+3*y=-15
- -6*x+1*y=14
- 1*x+7*y=8
- 20*x-4*y=-7
- Equation:
-
Equation x-6/x=-1
- Equation 1-y^2=2+x
-
Equation cos(x)=2
-
Equation 10x+9=7x
- Derivative of:
- 14
- Integral of d{x}:
-
14
- Sum of series:
-
14
-
Identical expressions
- - six *x+ one *y= fourteen
- minus 6 multiply by x plus 1 multiply by y equally 14
- minus six multiply by x plus one multiply by y equally fourteen
- -6x+1y=14
-
Similar expressions
- -6*x-1*y=14
- 6*x+1*y=14
Express x in terms of y where -6*x+1*y=14
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:
$$- 6 x = 14 - y$$
Divide both parts of the equation by -6
We get the answer: x = -7/3 + y/6
-6*x+1*y = 14
Looking for similar summands in the left part:
y - 6*x = 14
Move the summands with the other variables
from left part to right part, we given:
$$- 6 x = 14 - y$$
Divide both parts of the equation by -6
x = 14 - y / (-6)
We get the answer: x = -7/3 + y/6
Rapid solution
[src]
7 re(y) I*im(y)
x1 = - - + ----- + -------
3 6 6
$$x_{1} = \frac{\operatorname{re}{\left(y\right)}}{6} + \frac{i \operatorname{im}{\left(y\right)}}{6} - \frac{7}{3}$$
x1 = re(y)/6 + i*im(y)/6 - 7/3