solve the following system of equations graphically x +2y=1 and x-2y=-7
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Answers
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).
★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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