Question

4x-2y+6=0 I want to solve this equation completely to graph it...

Answer 1

$\large\underline{\sf{Solution-}}$

Given equation of line is

$\rm :\longmapsto\:4x - 2y + 6 = 0$

can be rewritten as

$\rm :\longmapsto\:4x + 6 = 2y$

On dividing both sides by 2, we get

$\rm :\longmapsto\:y = 2x + 3$

Substituting 'x = 0' in the given equation, we get

$\rm :\longmapsto\:y = 2(0) + 3$

$\rm :\longmapsto\:y =0 + 3$

$\rm :\longmapsto\:y =3$

Substituting 'x = 1' in the given equation, we get

$\rm :\longmapsto\:y = 2(1) + 3$

$\rm :\longmapsto\:y = 2+ 3$

$\rm :\longmapsto\:y = 5$

Substituting 'x = 2' in the given equation, we get

$\rm :\longmapsto\:y = 2(2) + 3$

$\rm :\longmapsto\:y = 4 + 3$

$\rm :\longmapsto\:y = 7$

Hᴇɴᴄᴇ,

➢ Pair of points of the given equation are shown in the below table.

$\begin{gathered}\boxed{\begin{array}{c|c} \bf x & \bf y \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf 0 & \sf 3 \\ \\ \sf 1 & \sf 5 \\ \\ \sf 2 & \sf 7 \end{array}} \\ \end{gathered}$

➢ Now draw a graph using the points (0 , 3), (1 , 5) & (2 , 7)

➢ See the attachment graph.

Answer 2

Answer:

2x + y - 6 = 0 and 4x - 2y -4 = 0

a

2

a

1

=

4

2

=

2

1

,

b

2

b

1

=

−2

1

c

2

c

1

=

−4

−6

=

2

3

∴

a

2

a

1



=

b

2

b

1

∴ the linear equation are consistent

∴ They have infinity solutions.

2x + y = 6 4x - 2y = 4

x y (x ,y) x y (x,y)

3 0 (0,6) 0 2 (0,-2)

❤Adyasha here❤