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5 votes
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.

2 Answers

3 votes
1st distribute

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

Then combine like terms

11a-2 = 11a-2

0=0

Infinite solutions
User Yoshi Walsh
by
7.3k points
3 votes
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
User Zeophlite
by
8.4k points

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