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If c<1 and the system of equations x+y-1...

If `c<1` and the system of equations `x+y-1=0,2x-y-c=0,a n d -b x+3b y-c=0` is consistent, then the possible real values of `b` are `b ∈(-3 3/4)` b. `b ∈(-3/2,4)` c.`b∈ (-3/4,3)` d. none of these

A

`b in (-3(3)/(4))`

B

` b in (-(3)/(2) ,4)`

C

`b in (-(3)/(4),3)`

D

none of these

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To determine the possible real values of \( b \) for the given system of equations to be consistent, we will analyze the equations step by step. ### Given Equations: 1. \( x + y - 1 = 0 \) (Equation 1) 2. \( 2x - y - c = 0 \) (Equation 2) 3. \( -bx + 3by - c = 0 \) (Equation 3) ### Step 1: Write the equations in standard form ...
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