Question

Draw the graph of equations x-y+1=0 3x + 2y-12=0

Answer 1

Answer:

0th

Maths

Pair of Linear Equations in Two Variables

Algebraic Solution of a Pair of Linear Equations

Draw the graphs of x - y + ...

MATHS

MEDIUM

Draw the graphs of x−y+1=0 and 3x+2y−12=0. Determine the coordinates of the vertices of the triangle formed by these lines and x-axis and shade the triangular area.

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ANSWER

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