Mister Exam
Other calculators
-
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
- Integral of d{x}:
-
-7
- Limit of the function:
- -7
- Derivative of:
- -7
-
Identical expressions
- twenty *x- four *y=- seven
- 20 multiply by x minus 4 multiply by y equally minus 7
- twenty multiply by x minus four multiply by y equally minus seven
- 20x-4y=-7
-
Similar expressions
- 20*x+4*y=-7
- 20*x-4*y=+7
Express x in terms of y where 20*x-4*y=-7
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:
$$20 x = 4 y - 7$$
Divide both parts of the equation by 20
We get the answer: x = -7/20 + y/5
20*x-4*y = -7
Looking for similar summands in the left part:
-4*y + 20*x = -7
Move the summands with the other variables
from left part to right part, we given:
$$20 x = 4 y - 7$$
Divide both parts of the equation by 20
x = -7 + 4*y / (20)
We get the answer: x = -7/20 + y/5
Rapid solution
[src]
7 re(y) I*im(y)
x1 = - -- + ----- + -------
20 5 5
$$x_{1} = \frac{\operatorname{re}{\left(y\right)}}{5} + \frac{i \operatorname{im}{\left(y\right)}}{5} - \frac{7}{20}$$
x1 = re(y)/5 + i*im(y)/5 - 7/20