Question

Draw the graph of each of the equations 2x-3y + 5 = 0 and 5x + 4y + 1 = 0 and find the coordinates of the point where the lines meet.

Answer 1

Answer:

( - 1 , 1 )

Step-by-step explanation:

Given :

2 x - 3 y + 5 = 0 ... ( i )

5 x + 4 y + 1 = 0  ... ( ii )

We have to find coordinates of the point where the lines meet.

Multiply by 5 in ( i ) :

= > 10 x = 15 y - 25 ... ( iii )

Multiply by 2 in ( ii ) :

= > 10 x = - 8 y - 2  .... ( iv )

From ( iii ) and ( iv ) we get :

= > 15 y - 25 = - 8 y - 2

= > 23 y = 23

= > y = 1

Putting y = 1 in ( i )

= > 2 x - 3 y + 5 = 0  [ y = 1 ]

= > 2 x - 3 + 5 = 0

= > 2 x + 2 = 0

= > x  = - 1

Therefore , coordinates of the point where the lines meet is ( - 1 , 1 ).

Answer 2

Step-by-step explanation:

2x - 3y + 5 = 0............1st

or, 2x = 3y - 5

or, x = (3y -5 ) /2

now, substituting the value of x in 2nd equation,

5( 3y - 5) /2 + 4y + 1 = 0

(15y - 25 ) /2 + 4y + 1 = 0

(15y - 25 + 8y + 2) /2 = 0

23y - 23 = 2 x 0

23y = 23

y = 23 /23

Y = 1

now, putting value of y in other equation ,

2x - 3x 1 + 5 = 0

2x - 3 + 5 = 0

2x + 2 = 0

x = - 2 /2

X = -1 answer

Hence,

coordinate are ( x,y) = (- 1, 1)

Thanks you genius,

one genius had already solved correctly but I had tried in other method