show that the lines x+7y=23and 5x+2y=16 intersect at the point (2,3) solve
Answers
Answered by
10
equation 1, x + 7y = 23
Putting, x =2, y=3
》 2 + 7 (3) = 2 + 21 = 23
( LHS ) = (RHS)
equation 2, 5x + 2y = 16
Putting x = 2 , y = 3
》 5(2) + 2 (3) = 10 + 6 = 16.
(LHS) = (RHS)
In both the equations solution pair (2,3) for (x,y) satisfies the given equations, therefore both lines pass through (2,3).
Putting, x =2, y=3
》 2 + 7 (3) = 2 + 21 = 23
( LHS ) = (RHS)
equation 2, 5x + 2y = 16
Putting x = 2 , y = 3
》 5(2) + 2 (3) = 10 + 6 = 16.
(LHS) = (RHS)
In both the equations solution pair (2,3) for (x,y) satisfies the given equations, therefore both lines pass through (2,3).
Similar questions