Respuesta :
The values of (x, y) are (-5, 1), if the equations [tex]x-5y=-10[/tex] and [tex]-x+y=6[/tex] are solved by elimination method.
Step-by-step explanation:
The given is,
[tex]x-5y=-10[/tex]................................(1)
[tex]-x+y=6[/tex].....................................(2)
Step:1
Equation (2) is multiplied by -1 ( Eqn (2) × -1 )
[tex]x-y=-6[/tex]..................................(3)
Step:2
Substrate the equation (1) and equation (3),
[tex]x-5y=-10[/tex]
[tex]x-y=-6[/tex]
( - )
After the Subtraction equation becomes,
[tex](x-x)+(-5y+y)=(-10+6)[/tex]
[tex](0)+(-4y)=(-4)[/tex]
[tex]-4y=-4[/tex]
[tex]y=1[/tex]
Step:3
By using y value find value of x,
[tex]x-5y=-10[/tex]
[tex]x-(5)(1)=-10[/tex]
[tex]x=-10+5[/tex]
[tex]x=-5[/tex]
Step:4
Check for solution,
[tex]-x+y=6[/tex]
[tex]-(-5)+1=6[/tex]
[tex]6=6[/tex]
Both sides are equal so answer is corrected
Result:
The values of (x, y) are (-5, 1), if the equations [tex]x-5y=-10[/tex] and [tex]-x+y=6[/tex] are solved by elimination method.
