ANSWER:
The equation -10(x – 1) = 10 - 10x have infinitely many solutions.
SOLUTION:
Given, equation is -10(x – 1) = 10 - 10x.
We need to find how many solutions are there for above equation.
Now,
-10( x – 1 ) = 10 - 10x
-10x – ( -10 ) × 1 = 10 – 10x
-10x + 10 × 1 = 10 – 10x
-10x + 10 = 10 – 10x
10 – 10x – 10 + 10x = 0
(10 – 10) + (-10x + 10x) = 0
(0) + (0) = 0
0 = 0
L.H.S = R.H.S
So, for any value of x the equations becomes true.
Hence, the equation have infinitely many solutions.