Mister Exam
Other calculators
-
How to use it?
- Express {x} in terms of y where:
- 19*x+2*y=17
- 8*x-9*y=-1
- 13*x-1*y=-20
- 9*x+8*y=-4
- Equation:
-
Equation cos(x)-1=0
-
Equation x+5=7
-
Equation 16*x^3+8*x^2+x=0
-
Equation 3/5*y=29/10-1/5
- Derivative of:
- -4
- Integral of d{x}:
-
-4
- Limit of the function:
- -4
-
Identical expressions
- five *x- thirteen *y=- four
- 5 multiply by x minus 13 multiply by y equally minus 4
- five multiply by x minus thirteen multiply by y equally minus four
- 5x-13y=-4
-
Similar expressions
- 5*x-13*y=+4
- 5*x+13*y=-4
Express x in terms of y where 5*x-13*y=-4
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:
$$5 x = 13 y - 4$$
Divide both parts of the equation by 5
We get the answer: x = -4/5 + 13*y/5
5*x-13*y = -4
Looking for similar summands in the left part:
-13*y + 5*x = -4
Move the summands with the other variables
from left part to right part, we given:
$$5 x = 13 y - 4$$
Divide both parts of the equation by 5
x = -4 + 13*y / (5)
We get the answer: x = -4/5 + 13*y/5
Rapid solution
[src]
4 13*re(y) 13*I*im(y)
x1 = - - + -------- + ----------
5 5 5
$$x_{1} = \frac{13 \operatorname{re}{\left(y\right)}}{5} + \frac{13 i \operatorname{im}{\left(y\right)}}{5} - \frac{4}{5}$$
x1 = 13*re(y)/5 + 13*i*im(y)/5 - 4/5