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)

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step-by-step explanation: