Question

1. 11 + 3p - 7 = 6p + 5 - 3p
2. 8x + 11 = 2(4x - 7) + 25

Explanation:

Step1: Simplify left side of Q8

$11 - 7 + 3p = 4 + 3p$

Step2: Simplify right side of Q8

$6p - 3p + 5 = 3p + 5$

Step3: Analyze simplified Q8 equation

$4 + 3p = 3p + 5$
Subtract $3p$ from both sides: $4 = 5$

Step4: Simplify right side of Q10

Use distributive property: $2(4x) - 2(7) + 25 = 8x - 14 + 25$
Combine constants: $8x + 11$

Step5: Analyze simplified Q10 equation

$8x + 11 = 8x + 11$
Subtract $8x + 11$ from both sides: $0 = 0$

Answer:

1. For $11 + 3p - 7 = 6p + 5 - 3p$: No solution (the equation is a contradiction, as $4

eq 5$)

1. For $8x + 11 = 2(4x - 7) + 25$: All real numbers are solutions (the equation is an identity)