Respuesta :

x + 4y = 21.....................................(1)
4x - y = 16     Multiply this by 4:-
16x - 4y = 64 ...................................(2)

Add (1) and (2):-
17x =  85
x = 5

Plug this into equation (1):-
5 + 4y = 21
4y = 16 
y = 4

Answer is x = 5, y = 4.
[tex]Simplifying x + 4y = 21 Solving x + 4y = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. x + 4y + -4y = 21 + -4y Combine like terms: 4y + -4y = 0 x + 0 = 21 + -4y x = 21 + -4y Simplifying x = 21 + -4y[/tex]

[tex]Simplifying 4x + -16 = y Reorder the terms: -16 + 4x = y Solving -16 + 4x = y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 4x = 16 + y Combine like terms: -16 + 16 = 0 0 + 4x = 16 + y 4x = 16 + y Divide each side by '4'. x = 4 + 0.25y Simplifying x = 4 + 0.25y[/tex]