Dividing both sides by 4 gives 2x ≡ 1 (mod 3). The solution is x = 2.
Questions & Step-by-step Solutions
1 item
Q
Q: If 8x ≡ 4 (mod 12), what is the value of x?
Solution: Dividing both sides by 4 gives 2x ≡ 1 (mod 3). The solution is x = 2.
Steps: 6
Step 1: Start with the equation 8x ≡ 4 (mod 12).
Step 2: Notice that both 8 and 4 can be divided by 4. So, divide the entire equation by 4.
Step 3: After dividing, the equation becomes 2x ≡ 1 (mod 3).
Step 4: Now, we need to find the value of x that satisfies 2x ≡ 1 (mod 3).
Step 5: To solve for x, we can test values for x: If x = 0, 2(0) = 0 (not 1); If x = 1, 2(1) = 2 (not 1); If x = 2, 2(2) = 4, and 4 mod 3 = 1 (this works).
