Question

SOLVE
one solution,no solution, or infinitely solutions
1. 6+8b+-6+2b

one solution,no solution, or infinitely solutions
2. 7g+5-2g=5+5g

Answer 1

To determine if the equations have one solution, no solution, or infinitely many solutions, let’s simplify each equation step by step.

### Problem 1: \(6 + 8b - 6 + 2b\)

1. Combine like terms on the left side:
\[
6 - 6 + 8b + 2b = 0 + 10b = 10b
\]

2. Since there is no equation (equaling to something) provided, we can interpret this as an expression rather than an equation needing a solution. Therefore, there’s no solution to find. We have simply simplified into an expression.

### Problem 2: \(7g + 5 - 2g = 5 + 5g\)

1. Combine like terms on the left side:
\[
(7g - 2g) + 5 = 5g + 5 \implies 5g + 5 = 5g + 5
\]

2. Now, we can see that we have:
\[
5g + 5 = 5g + 5
\]

This equation is always true regardless of the value of \(g\), which indicates that there are infinitely many solutions (any value for \(g\) will satisfy the equation).

### Summary:
1. **First Problem**: Not an equation to solve, simplified to \(10b\).
2. **Second Problem**: Infinitely many solutions (since \(5g + 5 = 5g + 5\) is always true).