John’s father is 5 times older than john and john is twice as old as his sister alice. in two years time, the sum of their ages will be 58. how old is john

John’s age is 8 years

Step-by-step explanation:

Let

x -----> John’s father's age

y -----> John’s age

z -----> John’s sister's age

we know that

-----> equation A

-----> equation B

 -----> equation C

Substitute equation A and equation B in equation C and solve for y

Multiply by 2 both sides to remove the fraction

Find the value of x

Find the value of z

therefore

John’s father's age is 40 years

John’s age is 8 years

John’s sister's age is 4 years

x=6 and x=3

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c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)