Math Module 2 (Hard) Question 12

How many solutions does the equation $4(12x-3)=-3(4-16x)$ have?
Answer:
D

Explanation

The correct answer is Choice D.

Solve the given equation to determine the number of solutions.

Alternatively,

Consider each side of the equation as a linear equation and evaluate how many intersects the two equations have.

Choices A, B, and C are incorrect because the given equation has infinite number of solutions.

✨ Expert's Tip ✨

The two linear equations have no solutions if they are only parallel: $m_1=m_2$ but $b_1≠b_2$.

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