Question

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Explanation:

Question 8 (a)

Step1: Expand both sides

$-3v -15 + 5v = 2v -12$

Step2: Simplify left side

$2v -15 = 2v -12$

Step3: Subtract $2v$ from both sides

$-15 = -12$

Question 8 (b)

Step1: Expand both sides

$3y -6 + 5 = 6y -10$

Step2: Simplify both sides

$3y -1 = 6y -10$

Step3: Isolate $y$ terms

$-1 +10 = 6y -3y$

Step4: Solve for $y$

$9 = 3y \implies y=3$

Question 9 (a)

Step1: Expand both sides

$3x +9 +x = 2x -2 +3$

Step2: Simplify both sides

$4x +9 = 2x +1$

Step3: Isolate $x$ terms

$4x -2x = 1 -9$

Step4: Solve for $x$

$2x = -8 \implies x=-4$

Question 9 (b)

Step1: Expand both sides

$4v +4 -7 = 3v -3 +v$

Step2: Simplify both sides

$4v -3 = 4v -3$

Step3: Subtract $4v$ from both sides

$-3 = -3$

Answer:

Question 8 (a): No solution
Question 8 (b): $y=3$
Question 9 (a): $x=-4$
Question 9 (b): All real numbers are solutions