Mister Exam
Other calculators
-
How to use it?
- Express {x} in terms of y where:
- -11*x+15*y=7
- 6*x+17*y=3
- 4*x+2*y=5
- 20*x+7*y=-9
- Equation:
-
Equation x^4=(3*x-4)^2
-
Equation 4-6*(x+2)=3-5*x
-
Equation 1/(x-3)^2-3/(x-3)-4=0
-
Equation 1+sin(x)=0
- Sum of series:
-
-2
- Derivative of:
-
-2
- Integral of d{x}:
-
-2
-
Identical expressions
- twelve *x- three *y=- two
- 12 multiply by x minus 3 multiply by y equally minus 2
- twelve multiply by x minus three multiply by y equally minus two
- 12x-3y=-2
-
Similar expressions
- 12*x-3*y=+2
- 12*x+3*y=-2
Express x in terms of y where 12*x-3*y=-2
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:
$$12 x = 3 y - 2$$
Divide both parts of the equation by 12
We get the answer: x = -1/6 + y/4
12*x-3*y = -2
Looking for similar summands in the left part:
-3*y + 12*x = -2
Move the summands with the other variables
from left part to right part, we given:
$$12 x = 3 y - 2$$
Divide both parts of the equation by 12
x = -2 + 3*y / (12)
We get the answer: x = -1/6 + y/4
Rapid solution
[src]
1 re(y) I*im(y)
x1 = - - + ----- + -------
6 4 4
$$x_{1} = \frac{\operatorname{re}{\left(y\right)}}{4} + \frac{i \operatorname{im}{\left(y\right)}}{4} - \frac{1}{6}$$
x1 = re(y)/4 + i*im(y)/4 - 1/6