Luicia tried to solve the system 2x + 2y = 14 x-2y=-2

(x, y) = (-1/4, - 3/4)

Step-by-step explanation:

1. Write as a system

2x + 2y = 14x - 2y = - 2

2. Eliminate one variable by adding the equations

2x + 2y = - 2

14 x - 2y = - 2

3. Divide both sides by 16

16x = - 4

4. Substitute the value of x into the equation.

x = - 1/4

5. Solve the equation

2 (-1/4) + 2y = - 2

6. A possible solution is

y = - 3/4

7. Check the solution

(x, y) = (-1/4, - 3/4)

8. Simplify the expression

2 (-1/4) + 2 (-3/4) = 14 (1/4) - 2 (-3/4) = - 2

9. The ordered pair is a solution

-2 = - 2 = - 2

10. (x, y) = (-1/4, - 3/4)