Let's solve each of these two-step equations step by step. The goal is to isolate the variable on one side of the equation.
---
1. Solve for x:
$$
6x + 1 = 13
$$
Step 1: Subtract 1 from both sides:
$$
6x = 13 - 1 = 12
$$
Step 2: Divide both sides by 6:
$$
x = \frac{12}{6} = 2
$$
✔ Answer: $ x = 2 $
---
2. Solve for x:
$$
5x - 2 = 13
$$
Step 1: Add 2 to both sides:
$$
5x = 13 + 2 = 15
$$
Step 2: Divide both sides by 5:
$$
x = \frac{15}{5} = 3
$$
✔ Answer: $ x = 3 $
---
3. Solve for y:
$$
14 = 3y - 4
$$
Step 1: Add 4 to both sides:
$$
14 + 4 = 3y \Rightarrow 18 = 3y
$$
Step 2: Divide both sides by 3:
$$
y = \frac{18}{3} = 6
$$
✔ Answer: $ y = 6 $
---
4. Solve for x:
$$
-7x + 5 = 19
$$
Step 1: Subtract 5 from both sides:
$$
-7x = 19 - 5 = 14
$$
Step 2: Divide both sides by -7:
$$
x = \frac{14}{-7} = -2
$$
✔ Answer: $ x = -2 $
---
5. Solve for x:
$$
4x + 5 = 5
$$
Step 1: Subtract 5 from both sides:
$$
4x = 5 - 5 = 0
$$
Step 2: Divide both sides by 4:
$$
x = \frac{0}{4} = 0
$$
✔ Answer: $ x = 0 $
---
6. Solve for m:
$$
7m - 1 = 6
$$
Step 1: Add 1 to both sides:
$$
7m = 6 + 1 = 7
$$
Step 2: Divide both sides by 7:
$$
m = \frac{7}{7} = 1
$$
✔ Answer: $ m = 1 $
---
7. Solve for n:
$$
-9 = 4n - 1
$$
Step 1: Add 1 to both sides:
$$
-9 + 1 = 4n \Rightarrow -8 = 4n
$$
Step 2: Divide both sides by 4:
$$
n = \frac{-8}{4} = -2
$$
✔ Answer: $ n = -2 $
---
✔ Final Answers:
1. $ x = 2 $
2. $ x = 3 $
3. $ y = 6 $
4. $ x = -2 $
5. $ x = 0 $
6. $ m = 1 $
7. $ n = -2 $
Let me know if you'd like help with the remaining 13 questions!
Parent Tip: Review the logic above to help your child master the concept of solve for x equations worksheet.
