Question

Solve for x to determine if the equation has one, none, or infinite solutions...

5(2x+2)−4=2x+6

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve for x, first distribute 5 to both terms in the parentheses:

10x + 10 - 4 = 2x + 6

Combine like terms:

10x + 6 = 2x + 6

Subtract 2x from both sides:

8x + 6 = 6

Subtract 6 from both sides:

8x = 0

Divide by 8 on both sides:

x = 0

Therefore, the equation has one solution, which is x = 0.

Answer 2

Sammie and her 3 cousins split their winnings from bingo evenly. She paid $25 to get a ride home. If she had $475 when she got home, how much money did they win altogether?

Answer 3

[AI-generated answer — Bot GPT 3.5]

Let x be the total winnings from bingo. Since Sammie paid $25 to get a ride home, she would have gotten x - $25 after the deduction.

Since Sammie and her 3 cousins split the winnings evenly, each person would receive (x - $25) / 4.

Given that Sammie had $475 when she got home, we can set up the equation:

(x - $25) / 4 = $475

Multiplying by 4 to both sides to solve for x:

x - $25 = $475 * 4
x - $25 = $1900
x = $1900 + $25
x = $1925

Therefore, they won a total of $1925 altogether.