Respuesta :
Answer:
x=0.5 is the solution
Step-by-step explanation:
We are given to verify whether x=0.5 is the solution of
[tex]3.57x + 1.61= 4.71-2.63x[/tex]
So, for verifying it , we can plug x=0.5 on both sides
and then we can simplify it
If we get both sides as same value after simplifying
then x=0.5 will be solution
we can plug x=0.5
[tex]3.57\times 0.5 + 1.61= 4.71-2.63\times 0.5[/tex]
[tex]1.785+1.61=4.71-1.315[/tex]
[tex]3.395=3.395[/tex]
We can see that
both sides are equal
so, x=0.5 is the solution
Answer:
TRUE
Step-by-step explanation:
Equation given to us is
3.57x + 1.61= 4.71-2.63x
To solve it we first try to bring the like terms together
So ,
Subtract 1.61 from both sides
3.57x + 1.61-1.61= 4.71-2.63x -1.61
combining the like terms we get
3.57x = 3.1 -2.63x
Next add 2.63x to both sides
3.57x+2.63x = 3.1 -2.63x+2.63x
combine the like terms with x here so we get
6.2x =3.1
Now our aim is to isolate the x.
To isolate x we divide both sides by the number which is multiplied to x
In the equation 6.2x=3.1 , Notice that 6.2 is multiplied to x
so divide both sides by 6.2
It looks like this
[tex]\frac{6.2x}{6.2}=\frac{3.1}{6.2}[/tex]
[tex]x=\frac{1}{2}[/tex]
x=0.5
so Tre has determined the correct solution.
