Linear Equations – Solving Examples

1. x / 4 = 20
   Multiply both sides by 4:
   → x = 20 × 4
   → x = 80

2. x + 4 = 20
   Subtract 4 from both sides:
   → x = 20 − 4
   → x = 16

3. m − 18 = 20
   Add 18 to both sides:
   → m = 20 + 18
   → m = 38

4. 3m = 15
   Divide both sides by 3:
   → m = 15 ÷ 3
   → m = 5

5. 5y = 48
   Divide both sides by 5:
   → y = 48 ÷ 5
   → y = 9.6

6. 8xy = 64
   Divide both sides by 8y:
   → x = 64 ÷ 8y
   (This one needs a value for y to solve for x.)

7. m + 4 = 28
   Subtract 4 from both sides:
   → m = 28 − 4
   → m = 24

8. 3m − 2 = 13
   Add 2 to both sides:
   → 3m = 15
   Divide by 3:
   → m = 5

9. 9y − 2 = 61
   Add 2 to both sides:
   → 9y = 63
   Divide by 9:
   → y = 7

10. 5(2m − 4) = 50
    Expand: 10m − 20 = 50
    Add 20 to both sides:
    → 10m = 70
    Divide by 10:
    → m = 7

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