Respuesta :

Answer:

Therefore the Final Solution is

[tex]x = 1\\ and\\ y = -3[/tex]  

Step-by-step explanation:

Given:

[tex]4x-2y=10[/tex]                ...............Equation ( 1 )

[tex]y=-2x-1[/tex]                   ................Equation ( 2 )

To Find:

x = ?

y = ?

Solution:

Substituting Equation  ( 2 ) in Equation ( 1 ) we get

[tex]4x-2(-2x-1)=10\\4x+4x+2=10\\8x=8\\x=\dfrac{8}{8}=1\\\\\therefore x =1[/tex]

Now Substituting x = 1 in Equation ( 2 ) we get

[tex]y=-2(1)-1=-2-1=-3\\\therefore y=-3[/tex]

Therefore the Final Solution is

[tex]x = 1\\ and\\ y = -3[/tex]