Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation x^2=x-1
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Equation (x-4)^2=0
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Equation x²-6x+5=0
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Equation 9-x^2=0
- Express {x} in terms of y where:
- -9*x+12*y=-17
- -4*x+6*y=4
- 12*x+6*y=16
- 1*x-14*y=10
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Identical expressions
- y- five =(- five / twelve)*(x- one)
- y minus 5 equally ( minus 5 divide by 12) multiply by (x minus 1)
- y minus five equally ( minus five divide by twelve) multiply by (x minus one)
- y-5=(-5/12)(x-1)
- y-5=-5/12x-1
- y-5=(-5 divide by 12)*(x-1)
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Similar expressions
- y-5=(-5/12)*(x+1)
- y-5=(5/12)*(x-1)
- y+5=(-5/12)*(x-1)
- 1/2x2-5/12x-1/2=0
y-5=(-5/12)*(x-1) equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
-5*(x - 1)
y - 5 = ----------
12
$$y - 5 = - \frac{5 \left(x - 1\right)}{12}$$
Detail solution
Given the linear equation:
Expand brackets in the right part
Move free summands (without x)
from left part to right part, we given:
$$y = \frac{65}{12} - \frac{5 x}{12}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{5 x}{12} + y = \frac{65}{12}$$
Divide both parts of the equation by (y + 5*x/12)/x
We get the answer: x = 13 - 12*y/5
y-5 = (-5/12)*(x-1)
Expand brackets in the right part
y-5 = -5/12x-1
Move free summands (without x)
from left part to right part, we given:
$$y = \frac{65}{12} - \frac{5 x}{12}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{5 x}{12} + y = \frac{65}{12}$$
Divide both parts of the equation by (y + 5*x/12)/x
x = 65/12 / ((y + 5*x/12)/x)
We get the answer: x = 13 - 12*y/5
The graph
Rapid solution
[src]
12*re(y) 12*I*im(y)
x1 = 13 - -------- - ----------
5 5
$$x_{1} = - \frac{12 \operatorname{re}{\left(y\right)}}{5} - \frac{12 i \operatorname{im}{\left(y\right)}}{5} + 13$$
x1 = -12*re(y)/5 - 12*i*im(y)/5 + 13
Sum and product of roots
[src]
sum
12*re(y) 12*I*im(y)
13 - -------- - ----------
5 5
$$- \frac{12 \operatorname{re}{\left(y\right)}}{5} - \frac{12 i \operatorname{im}{\left(y\right)}}{5} + 13$$
=
12*re(y) 12*I*im(y)
13 - -------- - ----------
5 5
$$- \frac{12 \operatorname{re}{\left(y\right)}}{5} - \frac{12 i \operatorname{im}{\left(y\right)}}{5} + 13$$
product
12*re(y) 12*I*im(y)
13 - -------- - ----------
5 5
$$- \frac{12 \operatorname{re}{\left(y\right)}}{5} - \frac{12 i \operatorname{im}{\left(y\right)}}{5} + 13$$
=
12*re(y) 12*I*im(y)
13 - -------- - ----------
5 5
$$- \frac{12 \operatorname{re}{\left(y\right)}}{5} - \frac{12 i \operatorname{im}{\left(y\right)}}{5} + 13$$
13 - 12*re(y)/5 - 12*i*im(y)/5