У = 2х +7
y = x+8
using substitution

(1, 9)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Systems

y = 2x + 7

y = x + 8

Step 2: Solve for x

Substitution

Step 3: Solve for y

x = 1

y = 9

Step-by-step explanation:

y = 2x + 7 (I)

y = x + 8 (II)

Substitute y = 2x + 7 in equation (I)

    2x + 7 = x + 8           {Subtract 'x' from both sides}

2x + 7 - x = 8                 {Combine like terms}

      x + 7 = 8                  {Subtract 7 from both sides}

           x  = 8 -7

x = 1

Substitute x = 1 in equation (I)

y = 2*1 + 7

 = 2 + 7

y = 9

step-by-step explanation:

given that ab is divided into equal parts as

ac, cd, de, ef, fg, gh, hi, ib.

from this we find that f is the midpoint of ab.

so using mid point formula we find

f = (3,7)

similarly considering fb, we get

h = mid point of fb = ((6,6) and g, mid point of fh is

g = (9/2, 13/2)

i is mid point of hb

so i =(15/2,11/2)