Mister Exam

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How to use it?
Equation:
Equation x+2/9=x-3/2
Equation 5,6-3(2-0,4x)=0,4(4x+1)
Equation x-4/4=x+3/7
Equation (|x|)=-4
Express {x} in terms of y where:
(12*x+4*y)/(9*x^2-y^2)=0
x^2+y^2=3xy=3
sqrt(x-y)=3
sqrt(1-x)^2+(4-y)^2=0
Identical expressions
eight *(twenty-six -x)= five *(twenty-six -y)
8 multiply by (26 minus x) equally 5 multiply by (26 minus y)
eight multiply by (twenty minus six minus x) equally five multiply by (twenty minus six minus y)
8(26-x)=5(26-y)
826-x=526-y
Similar expressions
8*(26-x)=5*(26+y)
826-x*30=286
8*(26+x)=5*(26-y)

8(26-x)=5(26-y) equation

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

You have entered [src]

8*(26 - x) = 5*(26 - y)

$$8 \left(26 - x\right) = 5 \left(26 - y\right)$$

Simplify

Detail solution

Given the linear equation:

8*(26-x) = 5*(26-y)

Expand brackets in the left part

8*26-8*x = 5*(26-y)

Expand brackets in the right part

8*26-8*x = 5*26-5*y

Move free summands (without x)
from left part to right part, we given:
$$- 8 x = - 5 y - 78$$
Divide both parts of the equation by -8

x = -78 - 5*y / (-8)

We get the answer: x = 39/4 + 5*y/8

The graph

Sum and product of roots [src]

sum

39   5*re(y)   5*I*im(y)
-- + ------- + ---------
4       8          8

$$\frac{5 \operatorname{re}{\left(y\right)}}{8} + \frac{5 i \operatorname{im}{\left(y\right)}}{8} + \frac{39}{4}$$

39   5*re(y)   5*I*im(y)
-- + ------- + ---------
4       8          8

$$\frac{5 \operatorname{re}{\left(y\right)}}{8} + \frac{5 i \operatorname{im}{\left(y\right)}}{8} + \frac{39}{4}$$

product

39   5*re(y)   5*I*im(y)
-- + ------- + ---------
4       8          8

$$\frac{5 \operatorname{re}{\left(y\right)}}{8} + \frac{5 i \operatorname{im}{\left(y\right)}}{8} + \frac{39}{4}$$

39   5*re(y)   5*I*im(y)
-- + ------- + ---------
4       8          8

$$\frac{5 \operatorname{re}{\left(y\right)}}{8} + \frac{5 i \operatorname{im}{\left(y\right)}}{8} + \frac{39}{4}$$

39/4 + 5*re(y)/8 + 5*i*im(y)/8

Rapid solution [src]

     39   5*re(y)   5*I*im(y)
x1 = -- + ------- + ---------
     4       8          8

$$x_{1} = \frac{5 \operatorname{re}{\left(y\right)}}{8} + \frac{5 i \operatorname{im}{\left(y\right)}}{8} + \frac{39}{4}$$

x1 = 5*re(y)/8 + 5*i*im(y)/8 + 39/4

8*(26-x)=5*(26-y) equation