Respuesta :
Answer:
First we have to same the bases.
As we know 8=2^3.
Replace 8 with 2^3.
Like this .
2^3x=2^3(2x+1).
Now 3x=3(2x+1) distribute 3 by the Barker.
3x=6x+3.
6x+3=3x.
6x-3x=-3.
3x=-3.
X=-1.
Step-by-step explanation:
It is Given that 2x + 1 : x + 2 = x+8 : 3x-4 therefore, the possible value of x is -1.
How to find the system of equations needed to solve an equation?
An equation usually consists of equality of two mathematical expressions. Let it be
A = B
. If we take them to be equal to third variable, then:
A = B = C
type of equation is obtained.
We can then take it as a system of two equations as:
A = C\\ B=C
The solution to this system will give us the solution to the considered equation.
The solution to an equation is finding values of the variable included in the considered equation for which the equation considered evaluates to be true.
Given that 2x + 1 : x + 2 = x+8 : 3x-4
First we have to same the bases.
As we know [tex]8=2^3.[/tex]
[tex]2^{3x}=2^{3(2x+1)}.[/tex]
Now 3x=3(2x+1) distribute 3 by the Barker.
[tex]3x=6x+3.\\6x+3=3x.\\6x-3x=-3.\\3x=-3.\\x=-1.[/tex]
Learn more about equations here:
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