Linear Equations in Two Variables Test - 5

because the value of x co-ordiate is 4

because the graph of y = 3 is parallel to x - axies so for all vaue of x the co-ordinate of y is 3

the given co-ordinate is solution of a eqution if on puting the co-ordiates L.H.S = R.H.S

3x + 4y = 12

put co-ordinate (2, 3) in given equation

L.H.S

3.2 + 4.3

6 + 12 = 18

L.HS ≠ R.H.S

So we can say (2, 3) is a not a solution of 3x + 4y = 12

at x axis  the value of y co-ordinate is zero

at y axis the value of x  co-ordinate is zero

there are infinite many eqution which satisfy the given value x = 2, y = 3

for example

x + y = 5

x - y = -1

3x - 2y = 0

etc..............

The graph of the linear equation x + y = 0 passes through the point (1,-1)

because the co-ordinate of x and y axis satisfy the  given equation

x + y =0

1 - 1 = 0

so we can say  (1,-1) is a solution of above equation

If x = 3 and y = -2 satisfies 2x – 3y = k

it means x = 3 and y = -2 is a solution of equation 2x – 3y = k

2.3 - 3(-2) = k

6+6 = k

k = 12