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How many of the following equations have the solution set {5}

?

2(x−3)+1=5

3b15=1

2h−30=40

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

To determine how many of the equations have the solution set {5}, we need to solve each equation and see if it results in the number 5.

1) 2(x - 3) + 1 = 5
First, distribute the 2: 2x - 6 + 1 = 5
Combine like terms: 2x - 5 = 5
Add 5 to both sides: 2x = 10
Divide both sides by 2: x = 5
The solution set for this equation is {5}.

2) 3b15 = 1
This equation is not clear. Did you intend to write it as 3b + 15 = 1, or did you have a different intention with the equation?

3) 2h - 30 = 40
Add 30 to both sides: 2h = 70
Divide both sides by 2: h = 35
The solution set for this equation is {35}.

Out of the three equations, only one of them has the solution set {5}.

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

To determine the number of equations that have the solution set {5}, we need to solve each equation and see if the solution set is {5}.

1. 2(x−3)+1=5

Step 1: Distribute the 2: 2x - 6 + 1 = 5
Step 2: Combine like terms: 2x - 5 = 5
Step 3: Add 5 to both sides: 2x = 10
Step 4: Divide by 2: x = 5

The solution set for this equation is {5}.

2. 3b15=1

This equation does not look like a typical algebraic equation. Could you please verify if it is written correctly?

3. 2h−30=40

Step 1: Add 30 to both sides: 2h = 70
Step 2: Divide by 2: h = 35

The solution set for this equation is {35}.

Out of the three equations given, two of them have the solution set {5}.