Question

(ii) coincident lines
The
7. Draw the graphs of the equations x – y + 1 = 0 and 3x + 2y - 12 = 0. Determine the
coordinates of the vertices of the triangle formed by these lines and the x-axis, and
shade the triangular region.
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Answer 1

Answer:

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Step-by-step

Given,

x−y+1=0....(1)

3x+2y−12=0....(2)

put x=0 in (1)

0−y+1=0⇒y=1

(0,1).....(a)

put y=0 in (2)

3x+2(0)−12=0→x=4

(4,0).....(b)

put x=0 in (2)

3(0)+2y−12=0→y=6

(0,6)......(c)

put y=0 in (1)

x−0+1=0⇒x=−1

(−1,0)...(d)

From figure, the vertices of triangle are (−1,0),(2,3),(4,0)

solution