Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation x^4-4x^2+4=0
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Equation x^4=(3x-10)^2
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Equation (x+1)+(x+3)=5
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Equation 6x^2+x-7=0
- Express {x} in terms of y where:
- -1*x+11*y=4
- 17*x+18*y=-9
- -17*x+10*y=-14
- -8*x-6*y=-2
- Sum of series:
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16
- Derivative of:
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16
- Integral of d{x}:
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16
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Identical expressions
- 5x-11y= sixteen
- 5x minus 11y equally 16
- 5x minus 11y equally sixteen
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Similar expressions
- 5*x-11*y-2*x=7
- 5x+11y=16
5x-11y=16 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:
$$- 11 y = 16 - 5 x$$
Divide both parts of the equation by -11
We get the answer: y = -16/11 + 5*x/11
5*x-11*y = 16
Looking for similar summands in the left part:
-11*y + 5*x = 16
Move the summands with the other variables
from left part to right part, we given:
$$- 11 y = 16 - 5 x$$
Divide both parts of the equation by -11
y = 16 - 5*x / (-11)
We get the answer: y = -16/11 + 5*x/11
The graph
Rapid solution
[src]
16 5*re(x) 5*I*im(x)
y1 = - -- + ------- + ---------
11 11 11
$$y_{1} = \frac{5 \operatorname{re}{\left(x\right)}}{11} + \frac{5 i \operatorname{im}{\left(x\right)}}{11} - \frac{16}{11}$$
y1 = 5*re(x)/11 + 5*i*im(x)/11 - 16/11
Sum and product of roots
[src]
sum
16 5*re(x) 5*I*im(x) - -- + ------- + --------- 11 11 11
$$\frac{5 \operatorname{re}{\left(x\right)}}{11} + \frac{5 i \operatorname{im}{\left(x\right)}}{11} - \frac{16}{11}$$
=
16 5*re(x) 5*I*im(x) - -- + ------- + --------- 11 11 11
$$\frac{5 \operatorname{re}{\left(x\right)}}{11} + \frac{5 i \operatorname{im}{\left(x\right)}}{11} - \frac{16}{11}$$
product
16 5*re(x) 5*I*im(x) - -- + ------- + --------- 11 11 11
$$\frac{5 \operatorname{re}{\left(x\right)}}{11} + \frac{5 i \operatorname{im}{\left(x\right)}}{11} - \frac{16}{11}$$
=
16 5*re(x) 5*I*im(x) - -- + ------- + --------- 11 11 11
$$\frac{5 \operatorname{re}{\left(x\right)}}{11} + \frac{5 i \operatorname{im}{\left(x\right)}}{11} - \frac{16}{11}$$
-16/11 + 5*re(x)/11 + 5*i*im(x)/11