Question

Which statement describes the solution to the equation a+5(2a−1)+3=11a−2 ?

A.The equation has no solution.

b. The equation has exactly one solution, a=2 11 .

C. The equation has exactly one solution, a=−4 .

D. The equation has infinitely many solutions.

Answer 1

1st distribute

a + 10a - 5 + 3 = 11a -2

Then combine like terms

11a-2 = 11a-2

0=0

Infinite solutions

Answer 2

a+5(2a-1)+3=11a-2
First thing to do is distribute
5*2a=10a
5*-1=-5
a+10a-5=11a-2
Add the similar numbers together
11a-5=11a-2
Then subtract
11a-11a
-5=-2
This equation has no solutions
If it had infinity solutions then both numbers on each side would equal the same, ex: -5=-5