Mister Exam
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How to use it?
- Equation:
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Identical expressions
- nine (2x-3y)- eight (y-x)= zero
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Similar expressions
- 9(2x+3y)-8(y-x)=0
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9(2x-3y)-8(y-x)=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
9*(2*x - 3*y) - 8*(y - x) = 0
$$- 8 \left(- x + y\right) + 9 \left(2 x - 3 y\right) = 0$$
Detail solution
Given the linear equation:
Expand brackets in the left part
Looking for similar summands in the left part:
Move the summands with the other variables
from left part to right part, we given:
$$26 x = 35 y$$
Divide both parts of the equation by 26
We get the answer: x = 35*y/26
9*(2*x-3*y)-8*(y-x) = 0
Expand brackets in the left part
9*2*x-9*3*y-8*y+8*x = 0
Looking for similar summands in the left part:
-35*y + 26*x = 0
Move the summands with the other variables
from left part to right part, we given:
$$26 x = 35 y$$
Divide both parts of the equation by 26
x = 35*y / (26)
We get the answer: x = 35*y/26
The graph
Sum and product of roots
[src]
sum
35*re(y) 35*I*im(y) -------- + ---------- 26 26
$$\frac{35 \operatorname{re}{\left(y\right)}}{26} + \frac{35 i \operatorname{im}{\left(y\right)}}{26}$$
=
35*re(y) 35*I*im(y) -------- + ---------- 26 26
$$\frac{35 \operatorname{re}{\left(y\right)}}{26} + \frac{35 i \operatorname{im}{\left(y\right)}}{26}$$
product
35*re(y) 35*I*im(y) -------- + ---------- 26 26
$$\frac{35 \operatorname{re}{\left(y\right)}}{26} + \frac{35 i \operatorname{im}{\left(y\right)}}{26}$$
=
35*re(y) 35*I*im(y) -------- + ---------- 26 26
$$\frac{35 \operatorname{re}{\left(y\right)}}{26} + \frac{35 i \operatorname{im}{\left(y\right)}}{26}$$
35*re(y)/26 + 35*i*im(y)/26
Rapid solution
[src]
35*re(y) 35*I*im(y)
x1 = -------- + ----------
26 26
$$x_{1} = \frac{35 \operatorname{re}{\left(y\right)}}{26} + \frac{35 i \operatorname{im}{\left(y\right)}}{26}$$
x1 = 35*re(y)/26 + 35*i*im(y)/26