Example 1: Basic Linear Equation
Solve for x: 2x + 3 = 11
Solution: Subtract 3 from both sides: 2x = 8.
Then divide both sides by 2: x = 4.
Example 2: Linear Equation with Fractions
Solve for y: (3/4)y - 5 = 1
Solution: Add 5 to both sides: (3/4)y = 6.
Then multiply both sides by 4/3: y = 8.
Example 3: Word Problem
The sum of twice a number and 7 is 21. Find the number.
Solution: Let the number be n. The equation is 2n + 7 = 21.
Subtract 7 from both sides: 2n = 14.
Then divide by 2: n = 7.
For more math fun, explore our Math Fun Page!