Math, asked by vijayalakshmi9344, 1 month ago

solve the following system of equations graphically x +2y=1 and x-2y=-7
guys plz answer fast​

Answers

Answered by amansharma264
15

EXPLANATION.

System of equation graphically.

⇒ x + 2y = 1. - - - - - (1).

⇒ x - 2y = - 7. - - - - - (2).

As we know that,

From equation (1), we get.

⇒ x + 2y = 1. - - - - - (1).

Put the value of x = 0 in the equation, we get.

⇒ (0) + 2y = 1.

⇒ 2y = 1.

⇒ y = 1/2.

⇒ y = 0.5.

Their Co-ordinates = (0,0.5).

Put the value of y = 0 in the equation, we get.

⇒ x + 2(0) = 1.

⇒ x = 1.

Their Co-ordinates = (1,0).

From equation (2), we get.

⇒ x - 2y = - 7. - - - - - (2).

Put the value of x = 0 in the equation, we get.

⇒ (0) - 2y = - 7.

⇒ - 2y = - 7.

⇒ 2y = 7.

⇒ y = 7/2.

⇒ y = 3.5.

Their Co-ordinates = (0,3.5).

Put the value of y = 0 in the equation, we get.

⇒ x - 2(0) = - 7.

⇒ x = - 7.

Their Co-ordinates = (-7,0).

Both curves intersects at a point = (-3,2).

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Answered by Atlas99
41

GIVEN EQUATIONS:

x+2y=1 ---- 1

x-2y= -7 ---- 2

SOLUTION:

From equation (1), we get

➪ x + 2y = 1. - (1)

By putting the value of x = 0 in the equation, we get

➪(0) + 2y = 1

➪2y = 1

➪ y = 1/2

➪ y = 0.5

By putting the value of y = 0 in the equation, we get

➪ x + 2(0) = 1

➪ x = 1

Their Co-ordinates = (1,0)

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