Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 0*x=0
-
Equation cos(x)=-1
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Equation 3x-2=5
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Equation 9-4x=3x-40
- Express {x} in terms of y where:
- -6*x+1*y=14
- -16*x-2*y=4
- -17*x+13*y=-3
- 1*x-6*y=-19
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Identical expressions
- 12x+y= one hundred and fourteen
- 12x plus y equally 114
- 12x plus y equally one hundred and fourteen
-
Similar expressions
- 12*x+y=120
- (x-11)^4=(x+3)^4
- 12*x/(12*x+y)=0.9351
- 0,3x+0,03y=0,12(x+y)
- 12x-y=114
12x+y=114 equation
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:
$$12 x = 114 - y$$
Divide both parts of the equation by 12
We get the answer: x = 19/2 - y/12
12*x+y = 114
Looking for similar summands in the left part:
y + 12*x = 114
Move the summands with the other variables
from left part to right part, we given:
$$12 x = 114 - y$$
Divide both parts of the equation by 12
x = 114 - y / (12)
We get the answer: x = 19/2 - y/12
The graph
Rapid solution
[src]
19 re(y) I*im(y)
x1 = -- - ----- - -------
2 12 12
$$x_{1} = - \frac{\operatorname{re}{\left(y\right)}}{12} - \frac{i \operatorname{im}{\left(y\right)}}{12} + \frac{19}{2}$$
x1 = -re(y)/12 - i*im(y)/12 + 19/2
Sum and product of roots
[src]
sum
19 re(y) I*im(y) -- - ----- - ------- 2 12 12
$$- \frac{\operatorname{re}{\left(y\right)}}{12} - \frac{i \operatorname{im}{\left(y\right)}}{12} + \frac{19}{2}$$
=
19 re(y) I*im(y) -- - ----- - ------- 2 12 12
$$- \frac{\operatorname{re}{\left(y\right)}}{12} - \frac{i \operatorname{im}{\left(y\right)}}{12} + \frac{19}{2}$$
product
19 re(y) I*im(y) -- - ----- - ------- 2 12 12
$$- \frac{\operatorname{re}{\left(y\right)}}{12} - \frac{i \operatorname{im}{\left(y\right)}}{12} + \frac{19}{2}$$
=
19 re(y) I*im(y) -- - ----- - ------- 2 12 12
$$- \frac{\operatorname{re}{\left(y\right)}}{12} - \frac{i \operatorname{im}{\left(y\right)}}{12} + \frac{19}{2}$$
19/2 - re(y)/12 - i*im(y)/12