Question

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.

Answer 1

Therefore,

Priya's way is correct to solve the equation.

Other person Strategyis Equation is

`23+ x -23=4-23`

Explanation:

Given:

Jada and Priya are trying to solve the equation,

`23+ x=4`

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
`(1)/(23)`

We have

`32* (23+x)=32* 4` ...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

`23+ x +(-23)=4+(-23)`

plus minus= minus , (+ - = - )

23 will get cancelled and she will get "x"

`23+ x -23=4-23\\\\x=-19` ...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

`23+ x -23=4-23\\\\x=-19` ...Which is also CORRECT.

Therefore,

Priya's way is correct to solve the equation.

Other person Strategyis Equation is

`23+ x -23=4-23`