problem on Substitutoring method

Topic :Substitution Method

If we have 2 equations ,We can solve them by substituting one on another,This is called Substitution method.We can solve the equations with out any complexity like elimination method.

here is one similar kind of example ,shows how to solve equations


Question:-

           1
Solve y = ---- x + 3 and   y=2x-1
         2

by using sustitution method.

Solution:-

Given


    1
y = ---- x + 3 -------Equation-1
    2

and   y=2x-1 -------Equation-2


Here equation 2 can be substituted in equation 1

         1
 2x-1 = ---- x+3
         2
   +1        +1  Add 1 bothsides
-------------------
         1
 2x   = ----x+4
         2

  1       1             1
- ---x  - ---x subtract ---x
  2       2             2
------------------
   1
2x- ---x = 4
   2
3
----- x = 4
2

3
----- x * 2 = 4 * 2 (multiply by 2
2

3x = 8
  
      8
 x = ----  is the Answer
      3

For more help ,Please reply me .