Mister Exam
Other calculators
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How to use it?
- Express {x} in terms of y where:
- -10*x+5*y=10
- -18*x+16*y=4
- -8*x-15*y=-12
- 14*x+3*y=-4
- Equation:
-
Equation cos(x)=√3/2
- Equation x^2-x-56=0
-
Equation 4x^2-12x+9=0
-
Equation 3*x^2-8*x-3=0
- Sum of series:
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10
- Derivative of:
-
10
- Integral of d{x}:
-
10
-
Identical expressions
- - ten *x+ five *y= ten
- minus 10 multiply by x plus 5 multiply by y equally 10
- minus ten multiply by x plus five multiply by y equally ten
- -10x+5y=10
-
Similar expressions
- -10*x-5*y=10
- 10*x+5*y=10
Express x in terms of y where -10*x+5*y=10
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:
$$- 10 x = 10 - 5 y$$
Divide both parts of the equation by -10
We get the answer: x = -1 + y/2
-10*x+5*y = 10
Looking for similar summands in the left part:
-10*x + 5*y = 10
Move the summands with the other variables
from left part to right part, we given:
$$- 10 x = 10 - 5 y$$
Divide both parts of the equation by -10
x = 10 - 5*y / (-10)
We get the answer: x = -1 + y/2
Rapid solution
[src]
re(y) I*im(y)
x1 = -1 + ----- + -------
2 2
$$x_{1} = \frac{\operatorname{re}{\left(y\right)}}{2} + \frac{i \operatorname{im}{\left(y\right)}}{2} - 1$$
x1 = re(y)/2 + i*im(y)/2 - 1