Question

Find the point of intersection of the straight lines 3y+4x=7 and 4y+3x=7, by drawing their graphs and looking for the point where they meet.

Answer 1

i ) Given 4x + 3y = 7

_______
| x | 1 | -2 |
_______
| y | 1 | 5 |
_______

( 1 , 1 ) , ( -2 , 5 )

ii ) 3x + 4y = 7

_______
| x | 1 | 5 |
_______
| y | 1 | -2 |
_______

( 1 , 1 ) , ( 5 , -2 )

Plotting the points on the graph and

joing them we get two intersecting

lines .

Intersecting point = ( 1 , 1 )

•••••

Answer 2

Given 4x + 3y =

( 1 , 1 ) , ( -2 , 5 )

ii ) 3x + 4y = 7

( 1 , 1 ) , ( 5 , -2 )

Plotting the points on the graph and

joing them we get two intersecting

lines .

Intersecting point = ( 1 , 1 )