Question

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

Answer 1

Dear Student,

Answer:
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Given pair of linear equation has consistent and have unique solution

Solution:
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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 2

Step-by-step explanation:

it is a unique solution it has 2 - 1