Question

1-Two systems of equations are given below.For each system, choose the best description of its solution.If applicable, give the solution.System AThe system has no solution.O The system has a unique solution:(x, y) = 006x - y=-5- 6x + y =5O The system has infinitely many solutionsSystem BThe system has no solution.The system has a unique solution:x + 5y = 11-x + 5y = 9(x, y) = 0,0The system has infinitely many solutions.

Answer 1

6x - y = -5

-6x + y = 5

Using the elimination method, the above system of equations has INFINITY MANY SOLUTION

Final answer: The system has an INFINTY many solution.

x + 5y = 11 --------------------- 1

-x + 5y = 9 -------------------- 2

from equation 1

x = 11 - 5y

-(1 1 - 5y ) + 5y = 9

-11 + 5y + 5y = 9

5y + 5y = 9 + 11

10y = 20

y = 20/10

y = 2

Substitute y in equation 1

x + 5(2) = 11

x + 10 = 11

x = 11 - 10

x = 1

x = 1 y = 2

The system has ONE SOLUTION.