8. Find the value of m, such that D₁, D₂, D3 meet each other at one point. Ans. m = 13/5

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 18E
icon
Related questions
Question
Pls check if this is correct. And pls explain the solution. Thanks
D₁ : x - y = 1
D, 2 x 15 75
D³i (2 m-s)x - my = 3
for D₁ D₂
J
* -ý = 1
2x + y = 5
3x = 6
using eq. I
x - y = 1
2-y=1
X=2
to solve for y
y=1+2
y=3
Substitute to eq. 3:
(2m-s)
x - my = 3
(2m-5) 2-m (3) = 3
4m-10-3m = 3
4m-3m = 3 +10
m = 13
m=
13
5
where x = 2
Transcribed Image Text:D₁ : x - y = 1 D, 2 x 15 75 D³i (2 m-s)x - my = 3 for D₁ D₂ J * -ý = 1 2x + y = 5 3x = 6 using eq. I x - y = 1 2-y=1 X=2 to solve for y y=1+2 y=3 Substitute to eq. 3: (2m-s) x - my = 3 (2m-5) 2-m (3) = 3 4m-10-3m = 3 4m-3m = 3 +10 m = 13 m= 13 5 where x = 2
8.
Find the value of m, such that D₁, D2, D3 meet each other at one point.
Ans. m 13/5
Transcribed Image Text:8. Find the value of m, such that D₁, D2, D3 meet each other at one point. Ans. m 13/5
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning