Question

X+2y=14 and -x+3y=26
Solving by using the Equal Values Method

Answer 1

Therefore,

`x=-2\\\\y=8`

Explanation:

Given:

`x+2y=14` .............( 1 )

`-x+3y=26` .............( 2 )

Solve by Equal Values Method

To Find:

x =?

y = ?

Solution:

`-x+3y=26` .............( 2 )

`-x+3y=26\\\\\therefore x=3y-26`

Substitute 'x' in Equation ( 1 ) we get

`3y-26+2y=14\\5y=14+26=40\\\therefore y=(40)/(5)=8\\\therefore y=8`

Now Substitute 'y' in Equation ( 1 ) we get

`x+2* 8=14\\\therefore x=14-16=-2\\\therefore x=-2`

Therefore,

`x=-2\\\\y=8`