Answered

Wilson is 6 years older than Mary. Wilsons age is 10 years less than five times Mary's age. The equations below model the relationship between Wilsons age (w) and Mary's age (m) :


w=m+6

w=5m-10


Which is a possible correct method to find Wilson's and Mary's ages?

ASolve w+6=5w-10 to find the value of w.

b)Write the points where the graphs of the equations intersect the x axis.

CSolve m+6+5m-10 to find the value of m.

d)Write the points where the graphs of the equations intersect the y axis.

Verified Answer :

c is the correct answer

Answer:

c) Solve m+6+5m-10 to find the value of m.

Step-by-step explanation:

Given information is :

Wilson is 6 years older than Mary.

Wilson's age is 10 years less than five times Mary's age.

The equations that model the relationship between Wilson's age (w) and Mary's age (m) are :

\(w=m+6\)

\(w=5m-10\)

Now we will solve this by setting them equal to each other since both equal 'w'

\(m+6=w=5m-10\)

\(m+6=5m-10\)

Clubbing the like terms together:

\(5m-m=10+6\)

\(4m=16\)

Dividing both sides by 4:

\(m=4\)

And w=m+6

so, \(w=4+6=10\)

Hence, Wilson is 10 years old and Mary is 4 years old.

So, C can be the answer. But it should have been \(m+6=5m-10\) just like option A. There is a writing error but we can consider option C.

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