For some real numbers a a a and b b b , the system of equations x + y = 4 x + y = 4 x + y = 4 and ( a + 5 ) x + ( b 2 − 15 ) y = 8 b (a + 5)x + (b^2 -...

CAT Medium Linear Equations MCQ

Question

For some real numbers

a

and

b

, the system of equations

x + y = 4

and

(a + 5)x + (b^2 - 15)y = 8b

has infinitely many solutions for

x

and

y

. Then, the maximum possible value of

ab

is:

simultaneous equationsinfinite solutionsalgebraic manipulationcat 2023

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