Solve the following linear equation for
p
p.

​
2
=
p
−
3
2
2=
2
p−3
​

p
=
p= ​

To solve the linear equation \( 2 = \frac{p - 3}{2} \), we need to isolate the variable \( p \).

### Step 1: Eliminate the fraction
Multiply both sides of the equation by 2 to get rid of the denominator:

\[
2 \times 2 = \frac{p - 3}{2} \times 2
\]

This simplifies to:

\[
4 = p - 3
\]

### Step 2: Solve for \( p \)
Now, add 3 to both sides of the equation to solve for \( p \):

\[
4 + 3 = p
\]

This simplifies to:

\[
p = 7
\]

So, the solution is \( p = 7 \).

Would you like more details or have any questions?

Here are 5 related questions to practice:

1. Solve for \( x \): \( 3 = \frac{x + 2}{5} \).
2. Solve for \( y \): \( 5y - 4 = 11 \).
3. Solve for \( z \): \( \frac{z - 1}{3} = 4 \).
4. Solve for \( a \): \( \frac{a + 7}{4} = 6 \).
5. Solve for \( b \): \( \frac{2b - 5}{3} = 8 \).

**Tip:** When solving equations with fractions, always try to eliminate the fractions first by multiplying both sides by the denominator.

Learn how to solve the linear equation 2 = (p - 3)/2 step-by-step with a detailed solution. This problem covers key algebraic concepts, including isolating variables and solving linear equations. Suitable for students in Grades 7-9.

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2

p

Solution

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