Mister Exam
Other calculators
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How to use it?
- Express {x} in terms of y where:
- -11*x+4*y=-8
- 17*x-11*y=2
- -14*x+1*y=3
- 1*x+19*y=-10
- Equation:
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Equation x=x/2+1
-
Equation x^2=6
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Equation (x+10)^2=(x-9)^2
-
Equation (7-x)^2=(x+16)^2
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Identical expressions
- - fourteen *x+ one *y= three
- minus 14 multiply by x plus 1 multiply by y equally 3
- minus fourteen multiply by x plus one multiply by y equally three
- -14x+1y=3
-
Similar expressions
- 14*x+1*y=3
- -14*x-1*y=3
Express x in terms of y where -14*x+1*y=3
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:
$$- 14 x = 3 - y$$
Divide both parts of the equation by -14
We get the answer: x = -3/14 + y/14
-14*x+1*y = 3
Looking for similar summands in the left part:
y - 14*x = 3
Move the summands with the other variables
from left part to right part, we given:
$$- 14 x = 3 - y$$
Divide both parts of the equation by -14
x = 3 - y / (-14)
We get the answer: x = -3/14 + y/14
Rapid solution
[src]
3 re(y) I*im(y)
x1 = - -- + ----- + -------
14 14 14
$$x_{1} = \frac{\operatorname{re}{\left(y\right)}}{14} + \frac{i \operatorname{im}{\left(y\right)}}{14} - \frac{3}{14}$$
x1 = re(y)/14 + i*im(y)/14 - 3/14