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?

a) solve w+6=5w-10 to find the value of w.
b)write the points where the graphs of the equations intersect the x axis.
c) solve m+6+5m-10 to find the value of m.
d)write the points where the graphs of the equations intersect the y axis.

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 :

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

Clubbing the like terms together:

Dividing both sides by 4:

And w=m+6

so,

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

So, C can be the answer. But it should have been just like option A. There is a writing error but we can consider option C.

need more info

step-by-step explanation:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)