Check given systems of equations to see if it has a unique solution, infinitely many solutions or no solution. Solve them graphically.
2x+3y = 1
3x-y = 7
Answers
Answered by
42
Dear Student,
Answer:
➖➖➖➖
Given pair of linear equation has consistent and have unique solution
Solution:
➖➖➖➖
Put different value of x and for that values of x find the values of y, thus find total three points
2x+3y = 1
put x = -1
3y = 3
y =1
one point (-1,1)
put x = 2
y = -1
second point is (2,-1)
third point (0.5,0)
➡️ line 2x+3y = 1 showing in graph with Red color.
for line 3x-y = 7
(0,-7)
(2,-1)
(3,2)
➡️ line 3x-y = 7 showing in graph with orange colour.
As you can see that both intersect at a unique point, thus given equations has a unique solution and it is (2 -1).
hope the solution helps you.
Answer:
➖➖➖➖
Given pair of linear equation has consistent and have unique solution
Solution:
➖➖➖➖
Put different value of x and for that values of x find the values of y, thus find total three points
2x+3y = 1
put x = -1
3y = 3
y =1
one point (-1,1)
put x = 2
y = -1
second point is (2,-1)
third point (0.5,0)
➡️ line 2x+3y = 1 showing in graph with Red color.
for line 3x-y = 7
(0,-7)
(2,-1)
(3,2)
➡️ line 3x-y = 7 showing in graph with orange colour.
As you can see that both intersect at a unique point, thus given equations has a unique solution and it is (2 -1).
hope the solution helps you.
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Answered by
8
Step-by-step explanation:
it is a unique solution it has 2 - 1
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