Mister Exam
Other calculators
-
How to use it?
- Express {x} in terms of y where:
- -17*x+4*y=19
- 15*x+5*y=16
- -2*x+16*y=-7
- 8*x-14*y=-14
- Equation:
-
Equation x+5=0
-
Equation 4*x^2-25=0
-
Equation 16x^2-1=0
-
Equation a+120=4000/5
-
Identical expressions
- sixteen *x- eight *y= two
- 16 multiply by x minus 8 multiply by y equally 2
- sixteen multiply by x minus eight multiply by y equally two
- 16x-8y=2
-
Similar expressions
- 16*x+8*y=2
Express x in terms of y where 16*x-8*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:
$$16 x = 8 y + 2$$
Divide both parts of the equation by 16
We get the answer: x = 1/8 + y/2
16*x-8*y = 2
Looking for similar summands in the left part:
-8*y + 16*x = 2
Move the summands with the other variables
from left part to right part, we given:
$$16 x = 8 y + 2$$
Divide both parts of the equation by 16
x = 2 + 8*y / (16)
We get the answer: x = 1/8 + y/2
Rapid solution
[src]
1 re(y) I*im(y)
x1 = - + ----- + -------
8 2 2
$$x_{1} = \frac{\operatorname{re}{\left(y\right)}}{2} + \frac{i \operatorname{im}{\left(y\right)}}{2} + \frac{1}{8}$$
x1 = re(y)/2 + i*im(y)/2 + 1/8