For some real numbers and x + y = 4(a + 5)x + (b^2 - 15)y = 8bxyab$ is
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CAT 2023 Slot 3 QA Question 3
Multiple choice (+3 / −1) · Algebra · Linear Equation · Try it, then check the answer and solution below.
Answer and solution
Answer: B)
📌 Core Concept
For a system of linear equations to have infinitely many solutions, the equations must be dependent, meaning one is a scalar multiple of the other. This requires the ratios of the coefficients and the constants to be equal.
🔢 Step-by-Step Solution
1
Given Equations:
2
Condition for Infinitely Many Solutions:
The ratios of the coefficients
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