Question

Tre determines the solution to the equation 3.57x + 1.61= 4.71-2.63x is x=0.5

Answer 1

TRUE

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

`(6.2x)/(6.2)=(3.1)/(6.2)`

`x=(1)/(2)`

x=0.5

so Tre has determined the correct solution.

Answer 2

x=0.5 is the solution

Explanation:

We are given to verify whether x=0.5 is the solution of

`3.57x + 1.61= 4.71-2.63x`

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

`3.57* 0.5 + 1.61= 4.71-2.63* 0.5`

`1.785+1.61=4.71-1.315`

`3.395=3.395`

We can see that

both sides are equal

so, x=0.5 is the solution