Question

solve the following pair of linear equations graphically: 2x + 3y + 4 =0, 2x -3y - 8 = 0 ​

Answer 1

2x+3y=-4

2x-3y=8

then 6y=-12

y=-2

substitute

2x-3*-2=8

2x+6=8

x=1

ans=1

Answer 2

2x+3y+4=0 -----------(1)

2x-3y-8=0 ------------(2)

adding both by equation (1) and (2)

2x-3y-8=0 -------------(2)

2x+3y+4=0 -----------(1)

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4x -4=0

4x-4+4=0+4

4x=4

x=4/4

x=1

Substitute x=1 in equation (1)

2x+3y+4=0

2×1+3y+4=0

2+3y+4=0

6y+4=0

6y=0-4

6y= -4

y= 6/-4

(x,y)=(1,6/-4) is the solution of the given equation