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

Question

?

2(x−3)+1=5

3b15=1

2h−30=40

(1 point)
The number of equations that have the solution set {5}
is
.
Remaining Attempts : 3
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Answer 1

To determine how many of the provided equations have the solution set {5}, we need to solve each equation for the variable and see if it equals 5.

1. Equation 1: \( 2(x-3) + 1 = 5 \)

   \[ 2(x-3) + 1 = 5 \] Subtract 1 from both sides: \[ 2(x-3) = 4 \] Divide both sides by 2: \[ x-3 = 2 \] Add 3 to both sides: \[ x = 5 \]

   This equation has the solution 5.

2. Equation 2: \( 3b = 15 \)

   To isolate \( b \): \[ b = \frac{15}{3} = 5 \]

   This equation has the solution 5.

3. Equation 3: \( 2h - 30 = 40 \)

   Add 30 to both sides: \[ 2h = 70 \] Divide by 2: \[ h = 35 \]

   This equation does not have the solution 5.

Now, let's summarize the results:

• First equation has the solution 5.
• Second equation has the solution 5.
• Third equation does not have the solution 5.

Thus, the total number of equations that have the solution {5} is 2.

So, the answer is: The number of equations that have the solution set {5} is 2.