Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation cos(x)=-3
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Equation x²-6x+5=0
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Equation (5+7*a)*15=-30
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Equation 1/2x=5
- Express {x} in terms of y where:
- -3*x-18*y=-15
- 20*x-10*y=6
- 17*x-8*y=8
- 3*x+15*y=5
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Identical expressions
- one / two *x-y= zero
- 1 divide by 2 multiply by x minus y equally 0
- one divide by two multiply by x minus y equally zero
- 1/2x-y=0
- 1/2*x-y=O
- 1 divide by 2*x-y=0
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Similar expressions
- 1/2*x+y=0
- (1/2)*(x-y)^2-(x-y)^4=(y^2-2*x^2)^2
- 1/(2x-y)=-1
- (3/(x+y-1))+(1/(2*x-y+3))+(7/5)=0
1/2*x-y=0 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:
$$\frac{x}{2} = y$$
Divide both parts of the equation by 1/2
We get the answer: x = 2*y
1/2*x-y = 0
Looking for similar summands in the left part:
x/2 - y = 0
Move the summands with the other variables
from left part to right part, we given:
$$\frac{x}{2} = y$$
Divide both parts of the equation by 1/2
x = y / (1/2)
We get the answer: x = 2*y
The graph
Sum and product of roots
[src]
sum
2*re(y) + 2*I*im(y)
$$2 \operatorname{re}{\left(y\right)} + 2 i \operatorname{im}{\left(y\right)}$$
=
2*re(y) + 2*I*im(y)
$$2 \operatorname{re}{\left(y\right)} + 2 i \operatorname{im}{\left(y\right)}$$
product
2*re(y) + 2*I*im(y)
$$2 \operatorname{re}{\left(y\right)} + 2 i \operatorname{im}{\left(y\right)}$$
=
2*re(y) + 2*I*im(y)
$$2 \operatorname{re}{\left(y\right)} + 2 i \operatorname{im}{\left(y\right)}$$
2*re(y) + 2*i*im(y)
Rapid solution
[src]
x1 = 2*re(y) + 2*I*im(y)
$$x_{1} = 2 \operatorname{re}{\left(y\right)} + 2 i \operatorname{im}{\left(y\right)}$$
x1 = 2*re(y) + 2*i*im(y)