Respuesta :
The solution for the given equations x + 3y = 5 and x - 3y = -1 are x=2 and y=1.
Step-by-step explanation:
The given is,
[tex]x+3y=5[/tex]......................................(1)
[tex]x-3y=-1[/tex]....................................(2)
Step:1
By elimination method,
Subtracting Equations (1) and (2),
[tex]x+3y=5[/tex]
[tex]x-3y=-1[/tex]
( - )
( [tex]x-x[/tex] ) + ( [tex]3y+3y[/tex] ) = ( [tex]5 +1[/tex] )
[tex]6y[/tex] = 6
[tex]y[/tex] = 1
Step:2
Substitute the value of y in equation (1),
[tex]x+3y=5[/tex]
[tex]x[/tex] + ( 3 × 1 ) = 5
[tex]x[/tex] = 5-3
[tex]x[/tex] = 2
Step:3
Check for Solution,
Substitute the values of x and y in Eqn (1),
[tex]x+3y=5[/tex]
2 + ( 3 × 1 ) = 5
5 = 5
Result:
The solution for the given equations x + 3y = 5 and x - 3y = -1 are x=2 and y=1, by elimination method.
