The graph of this system of equations is which of the following? 2x + y = 6 6x + 3y = 12
Answers
Answered by
3
EXPLANATION.
Graph of the equation.
⇒ 2x + y = 6. - - - - - (1).
⇒ 6x + 3y = 12. - - - - - (2).
As we know that,
From equation (1), we get.
⇒ 2x + y = 6. - - - - - (1).
Put the value of x = 0 in the equation, we get.
⇒ 2(0) + y = 6.
⇒ y = 6.
Their Co-ordinates = (0,6).
Put the value of y = 0 in the equation, we get.
⇒ 2x + (0) = 6.
⇒ 2x = 6.
⇒ x = 3.
Their Co-ordinates = (3,0).
From equation (2), we get.
⇒ 6x + 3y = 12. - - - - - (2).
Put the value of x = 0 in the equation, we get.
⇒ 6(0) + 3y = 12.
⇒ 3y = 12.
⇒ y = 4.
Their Co-ordinates = (0,4).
Put the value of y = 0 in the equation, we get.
⇒ 6x + 3(0) = 12.
⇒ 6x = 12.
⇒ x = 2.
Their Co-ordinates = (2,0).
Both curves never intersect each other and parallel to each other.
Attachments:
Similar questions