Question

System A

6x-y=-5
-6x+y=5
System B
x+3y=13
-x+3y=5
O The system has no solution.
The system has a unique solution:
(x, y) = (
The system has infinitely many solutions.
The system has no solution.
The system has a unique solution:
(x, y) = (
O The system has infinitely many solutions.

Answer 1

Explanation:

6x-y=-5

-6x+y=5

Adding the 2 equations we have:

0 + 0 = 0

0 = 0

This means there are infinite solutions

- the equations are identical.

System B

x+3y=13

-x+3y=5

Adding:

6y = 18

y = 3.

x = 13 - 3(3) = 4.

The system has a unique solution

(x. y) = (4, 3).