1.Since, the x-axis (equation y=0) does not intersect y=-7 at any point. The given pair of equations has no solution
2. pair of equations are
x + 2y + 5 = 0
-3x - 6y + 1 = 0
We have to find the solution.
Here, a₁ = 1, b₁ = 2, c₁ = 5
a₂ = -3, b₂ = -6, c₂ = 1
So, a₁/a₂ = 1/-3 = -(1/3)
b₁/b₂ = 2/-6 = -(1/3)
c₁/c₂ = 5/1
a
1
2
=
b
≠
c
We know that,
For a pair of linear equations in two variables be a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0,
If
, then
i) The pair of linear equations is inconsistent
ii) The graph will be a pair of parallel lines and so the pair of equations will have no solution.
Therefore, the pair of equations has no solution.
Answer:
answer is (no solution)
Step-by-step explanation:
1a). Since, the x-axis (equation y=0) does not intersect y=-7 at any point. The given pair of equations has no solution.
2a). Given, the pair of equations are
Given, the pair of equations are3x + 2y + 5 = 0
Given, the pair of equations are3x + 2y + 5 = 0-9x - 6y + 4 = 0
Given, the pair of equations are3x + 2y + 5 = 0-9x - 6y + 4 = 0We have to find the solution.
Given, the pair of equations are3x + 2y + 5 = 0-9x - 6y + 4 = 0We have to find the solution.Here, a₁ = 3, b₁ = 2, c₁ = 5
Given, the pair of equations are3x + 2y + 5 = 0-9x - 6y + 4 = 0We have to find the solution.Here, a₁ = 3, b₁ = 2, c₁ = 5a₂ = -9, b₂ = -6, c₂ = 4
Given, the pair of equations are3x + 2y + 5 = 0-9x - 6y + 4 = 0We have to find the solution.Here, a₁ = 3, b₁ = 2, c₁ = 5a₂ = -9, b₂ = -6, c₂ = 4So, a/a₂ = 3/-9 = -(1/3)
/a₂ = 3/-9 = -(1/3)b₁/b₂ = 2/-6 = -(1/3)
/a₂ = 3/-9 = -(1/3)b₁/b₂ = 2/-6 = -(1/3)c₁/c₂ = 5/4
a1/a2=b1/b2=|=c1/c2
Therefore, the pair of equations has no solution
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Answers & Comments
1.Since, the x-axis (equation y=0) does not intersect y=-7 at any point. The given pair of equations has no solution
2. pair of equations are
x + 2y + 5 = 0
-3x - 6y + 1 = 0
We have to find the solution.
Here, a₁ = 1, b₁ = 2, c₁ = 5
a₂ = -3, b₂ = -6, c₂ = 1
So, a₁/a₂ = 1/-3 = -(1/3)
b₁/b₂ = 2/-6 = -(1/3)
c₁/c₂ = 5/1
a
1
a
2
=
b
1
b
2
≠
c
1
c
2
We know that,
For a pair of linear equations in two variables be a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0,
If
a
1
a
2
=
b
1
b
2
≠
c
1
c
2
, then
i) The pair of linear equations is inconsistent
ii) The graph will be a pair of parallel lines and so the pair of equations will have no solution.
Therefore, the pair of equations has no solution.
Verified answer
Answer:
answer is (no solution)
Step-by-step explanation:
1a). Since, the x-axis (equation y=0) does not intersect y=-7 at any point. The given pair of equations has no solution.
2a). Given, the pair of equations are
Given, the pair of equations are3x + 2y + 5 = 0
Given, the pair of equations are3x + 2y + 5 = 0-9x - 6y + 4 = 0
Given, the pair of equations are3x + 2y + 5 = 0-9x - 6y + 4 = 0We have to find the solution.
Given, the pair of equations are3x + 2y + 5 = 0-9x - 6y + 4 = 0We have to find the solution.Here, a₁ = 3, b₁ = 2, c₁ = 5
Given, the pair of equations are3x + 2y + 5 = 0-9x - 6y + 4 = 0We have to find the solution.Here, a₁ = 3, b₁ = 2, c₁ = 5a₂ = -9, b₂ = -6, c₂ = 4
Given, the pair of equations are3x + 2y + 5 = 0-9x - 6y + 4 = 0We have to find the solution.Here, a₁ = 3, b₁ = 2, c₁ = 5a₂ = -9, b₂ = -6, c₂ = 4So, a/a₂ = 3/-9 = -(1/3)
/a₂ = 3/-9 = -(1/3)b₁/b₂ = 2/-6 = -(1/3)
/a₂ = 3/-9 = -(1/3)b₁/b₂ = 2/-6 = -(1/3)c₁/c₂ = 5/4
a1/a2=b1/b2=|=c1/c2
Therefore, the pair of equations has no solution