1. Example 1:
Solve for \(x\): \(3x - 7 = 8\)
**Step-by-step workings:**
Add 7 to both sides to isolate \(3x\) on the left side of the equation.
\(3x = 15\)
Divide both sides by 3 to solve for \(x\).
\(x = 5\)
**Answer:** \(x = 5\)
2. Example 2:
Solve for \(y\): \(\frac{2}{3}y + 4 = 10\)
**Step-by-step workings:**
Subtract 4 from both sides to isolate \(\frac{2}{3}y\) on the left side of the equation.
\(\frac{2}{3}y = 6\)
Multiply both sides by \(\frac{3}{2}\) to solve for \(y\).
\(y = 9\)
**Answer:** \(y = 9\)
3. Example 3:
Solve for \(z\): \(4z + 2(3z - 5) = 20\)
**Step-by-step workings:**
Simplify the expression within the parentheses first.
\(4z + 6z - 10 = 20\)
Combine like terms.
\(10z - 10 = 20\)
Solve for \(x\): \(3x - 7 = 8\)
**Step-by-step workings:**
Add 7 to both sides to isolate \(3x\) on the left side of the equation.
\(3x = 15\)
Divide both sides by 3 to solve for \(x\).
\(x = 5\)
**Answer:** \(x = 5\)
2. Example 2:
Solve for \(y\): \(\frac{2}{3}y + 4 = 10\)
**Step-by-step workings:**
Subtract 4 from both sides to isolate \(\frac{2}{3}y\) on the left side of the equation.
\(\frac{2}{3}y = 6\)
Multiply both sides by \(\frac{3}{2}\) to solve for \(y\).
\(y = 9\)
**Answer:** \(y = 9\)
3. Example 3:
Solve for \(z\): \(4z + 2(3z - 5) = 20\)
**Step-by-step workings:**
Simplify the expression within the parentheses first.
\(4z + 6z - 10 = 20\)
Combine like terms.
\(10z - 10 = 20\)
