y=3x+2
y=3x-6
How many solutions does this system have?
Answers
Answered by
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Given:
y=3x+2
y=3x-6
To find:
The number of solutions does system have.
Solution:
1)The given equations are the linear equation in two variables which can be noted in the form.
a1x+b1y+c1=0
a2x+b2y+c2=0
2)If,
- a1/a2 = b1/b2 = c1/c2 [Concurrent lines]
Infinite many soutions.
- a1/a2 = b1/b2 ≠ c1/c2 [parallel lines]
No solution
- a1/a2 ≠ b1/b2 ≠ c1/c2 [intersecting lines]
Two solutions.
3)As per the equations given in the question then the ratio of the its coefficients
- y=3x+2
3x-y+2=0
- y=3x-6
3x-y-6=0
Hence, the ratio is,
- 3/3 = -1/-1 ≠ 2/-6
- 1 = 1 ≠ -1/3
4)The given pair of equation are of parallel line which have no solution.
The given system have no solutions.
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