Answer:
Therefore,
[tex]x=-2\\\\y=8[/tex]
Step-by-step explanation:
Given:
[tex]x+2y=14[/tex] .............( 1 )
[tex]-x+3y=26[/tex] .............( 2 )
Solve by Equal Values Method
To Find:
x =?
y = ?
Solution:
[tex]-x+3y=26[/tex] .............( 2 )
[tex]-x+3y=26\\\\\therefore x=3y-26[/tex]
Substitute 'x' in Equation ( 1 ) we get
[tex]3y-26+2y=14\\5y=14+26=40\\\therefore y=\dfrac{40}{5}=8\\\therefore y=8[/tex]
Now Substitute 'y' in Equation ( 1 ) we get
[tex]x+2\times 8=14\\\therefore x=14-16=-2\\\therefore x=-2[/tex]
Therefore,
[tex]x=-2\\\\y=8[/tex]
