The pair of equations 9x + 3y +5 0 and 6x +2y +7 = 0 represents lines which
Answers
The pair of equations 9x + 3y +5=0 and 6x +2y +7 = 0 represents parallel lines.
Given : The pair of equations 9x + 3y +5 =0 and 6x +2y +7 = 0
To Find : These equations represents the lines
(intersecting , parallel , coincide)
Solution:
Pair of linear equations
a₁x + b₁y + c₁ = 0
a₂x + b₂y + c₂ = 0
Consistent
if a₁/a₂ ≠ b₁/b₂ (unique solution and lines intersects each others)
a₁/a₂ = b₁/b₂ = c₁/c₂ (infinite solutions and line coincide each other )
Inconsistent
if a₁/a₂ = b₁/b₂ ≠ c₁/c₂ ( No solution , lines are parallel to each other)
9x + 3y +5 = 0
6x +2y +7 = 0
9/6 = 3/2 ≠ 5/7
Hence
a₁/a₂ = b₁/b₂ ≠ c₁/c₂
=> lines are parallel to each other
The pair of equations 9x + 3y +5 0 and 6x +2y +7 = 0 represents parallel lines.
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Answer:
Hey mate
Here your answer
parallel lines
The a1/a2=b1/b2 not equal to c1/c2
9/6=3/2=5/7
3/2=3/2 not equal to 5/7
So these lines are parallel lines
Hence proved