Mister Exam

Other calculators


2/5x-1=3/4x-6

2/5x-1=3/4x-6 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]
2*x       3*x    
--- - 1 = --- - 6
 5         4     
$$\frac{2 x}{5} - 1 = \frac{3 x}{4} - 6$$
Detail solution
Given the linear equation:
2/5*x-1 = 3/4*x-6

Move free summands (without x)
from left part to right part, we given:
$$\frac{2 x}{5} = \frac{3 x}{4} - 5$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{\left(-7\right) x}{20} = -5$$
Divide both parts of the equation by -7/20
x = -5 / (-7/20)

We get the answer: x = 100/7
The graph
Sum and product of roots [src]
sum
100/7
$$\frac{100}{7}$$
=
100/7
$$\frac{100}{7}$$
product
100/7
$$\frac{100}{7}$$
=
100/7
$$\frac{100}{7}$$
100/7
Rapid solution [src]
x1 = 100/7
$$x_{1} = \frac{100}{7}$$
x1 = 100/7
Numerical answer [src]
x1 = 14.2857142857143
x1 = 14.2857142857143
The graph
2/5x-1=3/4x-6 equation