Peter is 2 years older than winnie. peter's age is 16 years less than seven times winnie's age. the equations below model the relationship between peter's age (p) and winnie's age (w): p=w+2 p=7w-16 which is a possible correct method to find peter's and winnie's ages? a. solve w+2 = 7w-16 to find the value of w b. solve p+2 =7p-16 to find the value of p c. write the points where the graphs of the equations intersect the x axis d. write the points where the graphs of the equations intersect the y axis

A. Solve w+2 = 7w-16 to find the value of w.

Step-by-step explanation:

Here p represents the age of Peter and w represents the age of Winnie,

Given,

Peter is 2 years older than Winnie.

⇒ p = w + 2 -----(1)

Also, Peter's age is 16 years less than seven times Winnie's age.

⇒ p = 7w - 16 -----(2),

By equating right sides of equation (1) and (2),

We get,

w + 2 = 7w - 16,

Since, this equation is only in the variable w,

Thus, we can find the value of w with help of the above equation,

After putting this value in either of equation (1) or (2),

We can find the value of p.

Hence, option A is correct.

Note : From equation (1) and (2),

w = p - 2 and

⇒ Option B is incorrect.

Now, let x represents w and y represents p in the graph,

Then, the solution will be the intersection point of lines y=x+2 and y=7x-16,

Which is shown below,

⇒ Options C and D are incorrect.

step-by-step explanation:

b

step-by-step explanation:

a difference is the result of subtraction. while each of these expressions has subtraction in it, a difference will be the result when subtraction is the last operation applied in the order of operations for the expression. this means subtraction must be outside of the parenthesis. only b has this.