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

Question

asked Mar 6, 2021 129k views

1 Answer

Kgutteridge · Answer 1 · 2021-03-11T19:10:14+0000

Answer:

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,

$x=-2\\\\y=8$