Mister Exam

Lang:

0,18x+3,74x-1,9x-0,7x=1,2 equation

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

You have entered [src]

9*x   187*x   19*x   7*x      
--- + ----- - ---- - --- = 6/5
 50     50     10     10

$$- \frac{7 x}{10} + \left(- \frac{19 x}{10} + \left(\frac{9 x}{50} + \frac{187 x}{50}\right)\right) = \frac{6}{5}$$

Simplify

Detail solution

Given the linear equation:

(9/50)*x+(187/50)*x-(19/10)*x-(7/10)*x = (6/5)

Expand brackets in the left part

9/50x+187/50x-19/10x-7/10x = (6/5)

Expand brackets in the right part

9/50x+187/50x-19/10x-7/10x = 6/5

Looking for similar summands in the left part:

33*x/25 = 6/5

Divide both parts of the equation by 33/25

x = 6/5 / (33/25)

We get the answer: x = 10/11

The graph

Plot the graph f1(x)

Plot the graph f2(x)

Sum and product of roots [src]

sum

10
--
11

$$\frac{10}{11}$$

10
--
11

$$\frac{10}{11}$$

product

10
--
11

$$\frac{10}{11}$$

10
--
11

$$\frac{10}{11}$$

10/11

Rapid solution [src]

     10
x1 = --
     11

$$x_{1} = \frac{10}{11}$$

x1 = 10/11

Numerical answer [src]

x1 = 0.909090909090909

x1 = 0.909090909090909