3. 'K' के किस मान के लिए रैखीय समीकरण युग्म 2x -y-3 = 0, 2kx +7y-5 = 0 का एकमात्र हल x = 1, y =-1 है?
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Answer: Simplifying
3y + -7y + 5 = 0
Reorder the terms:
5 + 3y + -7y = 0
Combine like terms: 3y + -7y = -4y
5 + -4y = 0
Solving
5 + -4y = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-5' to each side of the equation.
5 + -5 + -4y = 0 + -5
Combine like terms: 5 + -5 = 0
0 + -4y = 0 + -5
-4y = 0 + -5
Combine like terms: 0 + -5 = -5
-4y = -5
Divide each side by '-4'.
y = 1.25
Simplifying
y = 1.25
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