find the solution of the form x is equal to a Y is equal to zero and x is equal to zero Y is equal to b for the following equations 2 X + 5 Y equal to 10 and 2 X + 3 Y equal to 6 is there any common solution?
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Answers
QUESTION :-
find the solution of the form x is equal to a Y is equal to zero and x is equal to zero Y is equal to b for the following equations 2 X + 5 Y equal to 10 and 2 X + 3 Y equal to 6 is there any common solution?
2x + 5y = 10 and 2x + 3y = 6
SOLUTION :-
=> In a first equation,
=> 2x + 5y = 10 --------(1)
=> 2x + 5(0) = 10 ------( put y = 0 in equation)
=> 2x = 10 ------(divide by 2 on each side)
=> .°. x = 5.
=> Now, putting x = 5 in equation (1).
=> 2(5)+ 5y = 10
=> 10 + 5y = 10
=> 5y = 0
=> .°. y = 0.
=> Since, (5,0) is a solution.
=> In a second equation,
=> 2x + 3y = 6 -------(2)
=> 2x + 3(0) = 6 ------(put y = 0 in equation)
=> 2x = 6 -----( divide by 2 on each side)
=> .°. x = 3.
=> Now, putting x = 3 in equation (2).
=> 2(3) +3y = 6
=> 6 + 3y = 6
=> 3y = 0
=> .°. y = 0.
=> Hence, (3,0) is a solution.
Therefore, the given equations have a common solution (2,0).
Answer:
from rd Sharma
Step-by-step explanation:
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