Mister Exam

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Equation:
Equation sinx=1
Equation x^2+5*x-14=0
Equation x+4|x|=3
Equation 2^x=-4
Express {x} in terms of y where:
-18*x+15*y=-14
20*x+16*y=3
-4*x-11*y=18
3*x-18*y=19
Identical expressions
- seven *(x+ eight *y)- six *x= zero
minus 7 multiply by (x plus 8 multiply by y) minus 6 multiply by x equally 0
minus seven multiply by (x plus eight multiply by y) minus six multiply by x equally zero
-7(x+8y)-6x=0
-7x+8y-6x=0
-7*(x+8*y)-6*x=O
Similar expressions
-7*(x+8*y)+6*x=0
-7*(x-8*y)-6*x=0
7*(x+8*y)-6*x=0

-7(x+8y)-6*x=0 equation

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

You have entered [src]

-7*(x + 8*y) - 6*x = 0

$$- 6 x - 7 \left(x + 8 y\right) = 0$$

Simplify

Detail solution

Given the linear equation:

-7*(x+8*y)-6*x = 0

Expand brackets in the left part

-7*x-7*8*y-6*x = 0

Looking for similar summands in the left part:

-56*y - 13*x = 0

Move the summands with the other variables
from left part to right part, we given:
$$- 13 x = 56 y$$
Divide both parts of the equation by -13

x = 56*y / (-13)

We get the answer: x = -56*y/13

The graph

Rapid solution [src]

       56*re(y)   56*I*im(y)
x1 = - -------- - ----------
          13          13

$$x_{1} = - \frac{56 \operatorname{re}{\left(y\right)}}{13} - \frac{56 i \operatorname{im}{\left(y\right)}}{13}$$

x1 = -56*re(y)/13 - 56*i*im(y)/13

Sum and product of roots [src]

sum

  56*re(y)   56*I*im(y)
- -------- - ----------
     13          13

$$- \frac{56 \operatorname{re}{\left(y\right)}}{13} - \frac{56 i \operatorname{im}{\left(y\right)}}{13}$$

  56*re(y)   56*I*im(y)
- -------- - ----------
     13          13

$$- \frac{56 \operatorname{re}{\left(y\right)}}{13} - \frac{56 i \operatorname{im}{\left(y\right)}}{13}$$

product

  56*re(y)   56*I*im(y)
- -------- - ----------
     13          13

$$- \frac{56 \operatorname{re}{\left(y\right)}}{13} - \frac{56 i \operatorname{im}{\left(y\right)}}{13}$$

  56*re(y)   56*I*im(y)
- -------- - ----------
     13          13

$$- \frac{56 \operatorname{re}{\left(y\right)}}{13} - \frac{56 i \operatorname{im}{\left(y\right)}}{13}$$

-56*re(y)/13 - 56*i*im(y)/13

-7*(x+8*y)-6*x=0 equation