Question

Solve the system. ×+y=12; ×-y=2

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the system, we can add the equations together to eliminate the variable y:

(x + y) + (x - y) = 12 + 2
2x = 14
x = 14/2
x = 7

Now, we can substitute the value of x back into one of the original equations to solve for y:

7 + y = 12
y = 12 - 7
y = 5

Therefore, the solution to the system of equations is x = 7 and y = 5.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To solve the system of equations:

Equation 1: × + y = 12
Equation 2: × - y = 2

We can use the method of elimination to solve this system.

Step 1: Add the equations together to eliminate the variable "y":
(× + y) + (× - y) = 12 + 2
× + y + × - y = 14
2× = 14

Step 2: Divide both sides of the equation by 2 to solve for "×":
2×/2 = 14/2
× = 7

Step 3: Substitute the value of × back into one of the original equations:
× + y = 12
7 + y = 12

Step 4: Solve for "y":
y = 12 - 7
y = 5

Therefore, the solution to the system of equations is × = 7 and y = 5.