Mister Exam

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(1-5.7x)-(1.7x+5.4)=1 equation

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

You have entered [src]

    57*x     17*x   27    
1 - ---- + - ---- - -- = 1
     10       10    5

$$\left(1 - \frac{57 x}{10}\right) + \left(- \frac{17 x}{10} - \frac{27}{5}\right) = 1$$

Simplify

Detail solution

Given the linear equation:

(1-(57/10)*x)-((17/10)*x+(27/5)) = 1

Expand brackets in the left part

1+57/10x)-17/10x+27/5) = 1

Move free summands (without x)
from left part to right part, we given:
$$- \frac{37 x}{5} = \frac{27}{5}$$
Divide both parts of the equation by -37/5

x = 27/5 / (-37/5)

We get the answer: x = -27/37

The graph

Plot the graph f1(x)

Plot the graph f2(x)

Sum and product of roots [src]

sum

-27 
----
 37

$$- \frac{27}{37}$$

-27 
----
 37

$$- \frac{27}{37}$$

product

-27 
----
 37

$$- \frac{27}{37}$$

-27 
----
 37

$$- \frac{27}{37}$$

-27/37

Rapid solution [src]

     -27 
x1 = ----
      37

$$x_{1} = - \frac{27}{37}$$

x1 = -27/37

Numerical answer [src]

x1 = -0.72972972972973

x1 = -0.72972972972973

The graph