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Find the equation of straight line passing through the intersection of the lines 5x-2y-12=0 and 4x-7y-15=0 and parallel to the line 3x-2y+5=0

Find the equation of straight line passing through the intersection of the lines 5x-2y-12=0 and 4x-7y-15=0 and parallel to the line 3x-2y+5=0

one month ago

Answers : (1)

Anand Kumar Pandey
askIITians Faculty
4182 Points
							Dear Student

The intersection point of two lines can be calculated by solving the linear equation of both lines .
By solving given equations, we will get
x=2
y= –1

The line parallel to line ax+by+c=0 is given by ax+by+d=0
so line equation will be 3x –2y + d=0
since line passes through (2,-1)
3 x 2 –2 x (-1) +d=0
d= –8
so , The equation of line is 3x-2y-8=0

Thanks
one month ago
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