Question

2x+y=10
x-y=2
find x and y

Answer 1

Answer:

2x+y=10. (1)

x-y = 2

x= 2+y

put this in equation 1

2(2+y) +y= 10

4+2y+y=10

3y=10-4

3y= 6

y= 6÷3

y= 2

put value of y in equation 1

2x+2=10

2x= 10-2

2x= 8

x= 4

x= 4 and y= 2

Answer 2

• As per the data given in the question, we have to find the value of the expression.

               Given data:-

                   $2x+y=10\\x-y=2.$

               To find:- Value of $x\ and \ y$ =?

               Solution:-

• Here, we will use the below following steps to find a solution using the transposition method:
• Step 1:- we will Identify the variables and constants in the given simple equation.
• Step 2:-then we Simplify the equation in LHS and RHS.
• Step 3:- Transpose or shift the term on the other side to solve the equation further simplest.
• Step 4:- Simplify the equation using arithmetic operation as required that is mentioned in rule 1 or rule 2 of linear equations.
• Step 5:- Then the result will be the solution for the given linear equation. By using the transposition method. we get,

             $2x+y=10-(equation\ 1)\\x-y = 2\\x= 2+y$

       put the value of $x$ in equation $1.$

           $2(2+y) +y= 10\\4+2y+y=10\\3y=10-4\\3y= 6\\y=\frac{6}{3}\\ y=2.$

     put a value of $y$ in equation $1.$

         $2x+2=102x= 10-22x= 8x= 4.$

   Hence we will get the value of $x=4$ and $y=2.$