Answer:
1) The equation [tex]2(4x-1)=-8x-2[/tex] has one solution
2) The equation [tex]2(4x-1)=8x-2[/tex] has infinitely many solutions
3) The equation [tex]-2(4x-1)=-8x-2[/tex] has no solution.
Step-by-step explanation:
We need to solve the equation and match with its solution.
1) [tex]2(4x-1)=-8x-2[/tex]
Solving and finding value of x:
[tex]2(4x-1)=-8x-2\\8x-2=-8x-2\\8x+8x=-2+2\\16x=0\\x=0[/tex]
So, We get x =0
So, the equation [tex]2(4x-1)=-8x-2[/tex] has one solution
2) [tex]2(4x-1)=8x-2[/tex]
Solving the equation and finding value of x:
[tex]2(4x-1)=8x-2\\8x-2=8x-2\\8x-8x=-2+2\\0=0[/tex]
So, We get 0 =0
So, the equation [tex]2(4x-1)=8x-2[/tex] has infinitely many solutions
3) [tex]-2(4x-1)=-8x-2[/tex]
Solving the equation and finding value of x
[tex]-2(4x-1)=-8x-1\\-8x+2=-8x-2\\-8x+8x=-2-2\\0\neq -4[/tex]
So, we get 0 ≠ -4
So, the equation [tex]-2(4x-1)=-8x-2[/tex] has no solution.
