Question

solution for this equation x+y=3 X-y=-1 Select one: a. This system has no solution b. This system has infinite number of solutions c. This system has exactly one solution x=2,y=1 d. This system has exactly one solution x=1,y=2

Answer 1

the correct answer is d. This system has exactly one solution x=1, y=2.

Explanation:

To determine the solution for the system of equations:

x + y = 3

x - y = -1

We can solve this system using the method of elimination.

First, we'll add the two equations together to eliminate the y variable:

(x + y) + (x - y) = 3 + (-1)

2x = 2

x = 1

Next, we substitute the value of x back into one of the original equations to find the value of y:

1 + y = 3

y = 3 - 1

y = 2

Therefore, the system of equations has exactly one solution: x = 1 and y = 2.