Kayla and Evelyn are reading the same book. At the beginning of the month, Kayla was on page 19 and Evelyn was on page 49. Kayla will read 15 pages per day and Evelyn will read 9 pages per day. Let KK represent the page of the book that Kayla is on at the end of tt days into the month, and let EE represent the page of the book that Evelyn is on at the end of tt days into the month. Write an equation for each situation, in terms of t, t, and determine whether Kayla or Evelyn is farther along in the book after 2 days.

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system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.