Mister Exam

Other calculators

(x+2)/9=(x-3)/2

(x+2)/9=(x-3)/2 equation

The teacher will be very surprised to see your correct solution 😉

v

Numerical solution:

Do search numerical solution at [, ]

The solution

You have entered [src] 
x + 2   x - 3
----- = -----
  9       2
$$\frac{x + 2}{9} = \frac{x - 3}{2}$$
Simplify
Detail solution
Given the linear equation:
(x+2)/9 = (x-3)/2

Expand brackets in the left part
x/9+2/9 = (x-3)/2

Expand brackets in the right part
x/9+2/9 = x/2-3/2

Move free summands (without x)
from left part to right part, we given:
$$\frac{x}{9} = \frac{x}{2} - \frac{31}{18}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{\left(-7\right) x}{18} = - \frac{31}{18}$$
Divide both parts of the equation by -7/18
x = -31/18 / (-7/18)

We get the answer: x = 31/7
The graph
Plot the graph f1(x)
Plot the graph f2(x)
Rapid solution [src] 
x1 = 31/7
$$x_{1} = \frac{31}{7}$$ 
x1 = 31/7
Sum and product of roots [src] 
sum
31/7
$$\frac{31}{7}$$ 
=
31/7
$$\frac{31}{7}$$ 
product
31/7
$$\frac{31}{7}$$ 
=
31/7
$$\frac{31}{7}$$ 
31/7
Numerical answer [src] 
x1 = 4.42857142857143
x1 = 4.42857142857143
The graph
(x+2)/9=(x-3)/2 equation
    © Mister Exam – Calculator