Find the equation of a straight line parallel to X axis and passing through the point of intersection of the
lines 4x + 5y = 13 and x – 8y + 9 = 0.
Answers
Answer:
Vertebrata is divided into two superclasses, viz. Pisces and Tetrapoda. Animals of Pisces have streamlined body with fins and tails to assist in swimming. Animals of Tetrapoda have four limbs for locomotion.
- The equation of the line is x = 59/37 = 37x - 59 = 0
Explaination :
Given :-
4x + 5y = 13
x - 8y + 9 = 0
Let,
4x + 5y - 13 = 0 ------- (1)
x - 8y + 9 = 0 -------- (2)
Solving (1) & (2) :-
x y 1
5 -13 4 5
-8 9 1 -8
x y 1
_____ = _____ = _____
45 - 104 -13 - 36 -32 - 5
⟹ x / -59 = y / -49 = 1 / -37
⟹ x = 59 / 37, y = 49 / 37
Therefore, the point of intersection (x, y) = (59/37, 49/37)
The equation of line parallel to Y axis is x = c
It passes through (x, y) = (59/37, 49/37). Therefore, c = 59/37
- Hence, The equation of the line is x = 59/37 = 37x - 59 = 0