Draw the graph of the equation 2x + y = 3 and x + 2y = 3 and locate the point of intersection of these two lines
Answers
Answered by
8
QUESTION
Draw the graph of the equation 2x + y = 3 and x + 2y = 3 and locate the point of intersection of these two lines.
SOLUTION
- 2x + y = 3 ... ( equation 1 )
- x + 2y = 3 ... ( equation 2 )
EQUATION 1 :
=> 2x + y = 3
=> y = -2x + 3
EQUATION 2 :
=> x + 2y = 3
=> 2y = -x + 3
=> y = -1/2x + 3
2 SOLUTION FOR THE 2 EQUATIONS :
EQUATION 1 :
When x is 2, y = -2 × 2 + 3 = -4 + 3 = -1
When x is 4, y = -2 × 4 + 3 = -8 + 3 = -5
EQUATION 2 :
When x is 2, y = -1/2 × 2 + 3 = -2/2 + 3 = -1 + 3 = 2
When x is 4, y = -1/2 × 4 + 3 = -4/2 + 3 = -2 + 3 = 1
POINT OF INTERACTION OF THESE TWO LINES :
=> x = 0 & y = 3
Attachments:
Similar questions