William says to Gracie, "If you give me $7.50,we will have and equal amount of money. "Grace responds, "That may be true, but if you give me $ 7.50 instead, I will have twice as much money as you. "How much money did William and Grace each have in the beginning?

Please show work

The amount that William has at the beginning is $37.50 and the amount that Gracie has at the beginning is $52.50

Step-by-step explanation:

Let

x ---> amount that William has at the beginning

y ---> amount that Gracie has at the beginning

we know that

William says to Gracie, "If you give me $7.50,we will have and equal amount of money

so

----> equation A

"Grace responds, if you give me $ 7.50 instead, I will have twice as much money as you

----> equation B

substitute equation A in equation B

solve for x

Find the value of y

therefore

The amount that William has at the beginning is $37.50 and the amount that Gracie has at the beginning is $52.50

answer:

(-8,7)

explanation:

we know that  

f

(

−

3

)

=

7

therefore, if we wish to get the output as 7, in the function, we need to have our input to be -3.

looking at the function  

f

(

x

+

5

)

, what should the value of x be, such that the input in the function becomes 7?

we simply equate the terms,

x

+

5

=

−

3

x

=

−

8

thus, the point on the new function would be  

(

−

8

,

7

)

idk

step-by-step explanation: