Question

How to solve -4x+y=6,-5x-y=21 in graphical method

Answer 1

Answer:

⇒ In order to represent the pair of linear equation graphically we need two points on the line representing each equation.

⇒ Prepare the proper table of at least 2 solutions for both the equations.

5x−y=5

For x=0,

⇒ 5(0)−y=5

⇒ 0−y=5

⇒ y=−5

So we get co-ordinates (0,−5).

For y=0

⇒ 5x−0=5

⇒ 5x=5

∴ x=1

So we get co-ordinates (1,0).

x 0 1

y −5 0

3x−2y=−4

For x=0

⇒ 3(0)−2y=−4

⇒ −2y=−4

⇒ y=2

So we get co-ordinates (0,2).

For y=5

⇒ 3x−2(5)=−4

⇒ 3x−10=−4

⇒ 3x=6

⇒ x=2

So we get co-ordinates (2,5)

x 0 2

y 2 5

The given pair of linear equations intersect each other at point D(2,5).

The coordinates of the points where the line intersect y−axis are A(0,−5) and C(0,2).