Jada and Priya are trying to solve the equation 23+x=4. Jada says, "I think we should multiply each side by 32 because that is the reciprocal of 23." Priya says, "I think we should add -23 to each side because that is the opposite of 23." Which person's strategy should they use? Why? Write an equation that can be solved using the other person's strategy.

Respuesta :

Answer:

Therefore,

Priya's way is correct to  solve the equation.

Other person Strategyis Equation is

[tex]23+ x -23=4-23[/tex]

Step-by-step explanation:

Given:

Jada and Priya are trying to solve the equation,

[tex]23+ x=4[/tex]

For Jada way of calculation :

I think we should multiply each side by 32 because that is the reciprocal of 23.

Also Reciprocal of 23 is [tex]\dfrac{1}{23}[/tex]

We have

[tex]32\times (23+x)=32\times 4[/tex] ...Which is INCORRECT

For Priya way of calculation :

I think we should add -23 to each side because that is the opposite of 23.

We have

[tex]23+ x +(-23)=4+(-23)[/tex]

plus minus= minus , (+ - = - )

23 will get cancelled and she will get "x"

[tex]23+ x -23=4-23\\\\x=-19[/tex] ...Which is CORRECT

Hence Priya's way is correct to  solve the equation.

The other Person strategy to solve will be:

I think we should subtract 23 to each side because that is the opposite of 23.

We have

[tex]23+ x -23=4-23\\\\x=-19[/tex] ...Which is also CORRECT.

Therefore,

Priya's way is correct to  solve the equation.

Other person Strategyis Equation is

[tex]23+ x -23=4-23[/tex]