Find the point of intersection of the lines 2x -3y + 1 = 0 and 4y + 3x + 2 = 0
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Step-by-step explanation:
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Answered by
1
Answer:
3x−4y=35........(i)
2x+5y=8
⇒x=
2
8−5y
substituting x in (i)
3(
2
8−5y
)−4y=35
24−15y−8y=70
−23y=46
⇒y=−2
x=
2
8−5(−2)
⇒x=9
So the point of intersection is P(9,−2)
Equation of line joining (2,−9) and P is
y−(−2)=(
2−9
−9−(−2)
)(x−9)
y+2=
−7
−7
(x−9)
y+2=x−9
x−y=11
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