Mister Exam
Other calculators
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How to use it?
- Equation:
- Equation (a-2)(b+5)=(a-2)b+(a-2)5
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Equation 5=4x-3x
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Equation x^3+6*x^2=4*x+24
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Equation 11/(x+4)=-11/7
- Express {x} in terms of y where:
- -5*x+3*y=10
- 17*x+11*y=12
- 14*x+5*y=-16
- -7*x+6*y=13
- 6*x-2*y
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Identical expressions
- six *x- two *y= four
- 6 multiply by x minus 2 multiply by y equally 4
- six multiply by x minus two multiply by y equally four
- 6x-2y=4
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Similar expressions
- 6x+9y-(6x-2y)=0
- 6*x+2*y=4
6*x-2*y=4 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:
$$6 x = 2 y + 4$$
Divide both parts of the equation by 6
We get the answer: x = 2/3 + y/3
6*x-2*y = 4
Looking for similar summands in the left part:
-2*y + 6*x = 4
Move the summands with the other variables
from left part to right part, we given:
$$6 x = 2 y + 4$$
Divide both parts of the equation by 6
x = 4 + 2*y / (6)
We get the answer: x = 2/3 + y/3
The graph
Rapid solution
[src]
2 re(y) I*im(y)
x1 = - + ----- + -------
3 3 3
$$x_{1} = \frac{\operatorname{re}{\left(y\right)}}{3} + \frac{i \operatorname{im}{\left(y\right)}}{3} + \frac{2}{3}$$
x1 = re(y)/3 + i*im(y)/3 + 2/3
Sum and product of roots
[src]
sum
2 re(y) I*im(y) - + ----- + ------- 3 3 3
$$\frac{\operatorname{re}{\left(y\right)}}{3} + \frac{i \operatorname{im}{\left(y\right)}}{3} + \frac{2}{3}$$
=
2 re(y) I*im(y) - + ----- + ------- 3 3 3
$$\frac{\operatorname{re}{\left(y\right)}}{3} + \frac{i \operatorname{im}{\left(y\right)}}{3} + \frac{2}{3}$$
product
2 re(y) I*im(y) - + ----- + ------- 3 3 3
$$\frac{\operatorname{re}{\left(y\right)}}{3} + \frac{i \operatorname{im}{\left(y\right)}}{3} + \frac{2}{3}$$
=
2 re(y) I*im(y) - + ----- + ------- 3 3 3
$$\frac{\operatorname{re}{\left(y\right)}}{3} + \frac{i \operatorname{im}{\left(y\right)}}{3} + \frac{2}{3}$$
2/3 + re(y)/3 + i*im(y)/3