Solve for a,*a*.

start fraction, 3, divided by, 4, end fraction, a, plus, 7, equals, 79

43​*a*+7=

79

The equation you're trying to solve is:

\[
\frac{3}{4}a + 7 = 79
\]

### Step 1: Subtract 7 from both sides
\[
\frac{3}{4}a + 7 - 7 = 79 - 7
\]
\[
\frac{3}{4}a = 72
\]

### Step 2: Multiply both sides by the reciprocal of \(\frac{3}{4}\) (which is \(\frac{4}{3}\)) to isolate \(a\):
\[
a = 72 \times \frac{4}{3}
\]

### Step 3: Simplify the multiplication
\[
a = \frac{72 \times 4}{3} = \frac{288}{3} = 96
\]

Thus, the solution is \( a = 96 \).

Would you like a detailed explanation or have any further questions? Here are 5 related questions you might consider:

1. How do you solve an equation with fractions?
2. What is the reciprocal, and how is it used in solving equations?
3. Can you apply this method to equations with different coefficients?
4. How do you check if your solution to an equation is correct?
5. How do you solve equations with multiple variables?

**Tip:** Always perform the same operation on both sides of the equation to maintain balance.

This page explains how to solve the linear equation (3/4)a + 7 = 79. Learn the step-by-step process of isolating variables, using the reciprocal, and simplifying fractions. Perfect for students in Grades 6-8 looking to strengthen their algebra skills.

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