What is solution to linear system below?

The answer to your question is (0, 7)

Step-by-step explanation:

Data

Equation l              2x - 2y = -14

Equation ll             y = -6x + 7

Process

1.- Solve this system by substitution

- Substitute equation ll in equation l

                   2x -2(-6x + 7)  = -14

- Expand

                   2x + 12x - 14 = -14

   -Simplify

                               14x = -14 + 14

                               14x = 0

                                  x = 0/14

                                  x = 0

2.- Substitute x in equation ll to find y

                                 y = -6(0) + 7

                                 y = 0 + 7

                                 y = 7

3.- Solution

                      (0, 7)

option 2(0, 7)

Step-by-step explanation:

The given system of linear equations is expressed as

2x - 2y = - 14- - - - - - - - - - - 1

y = - 6x + 7- - - - - - - - - - 2

We would apply the method of substitution. Substituting y = - 6x + 7 into equation 1, it becomes

2x - 2(- 6x + 7) = - 14

2x + 12x - 14 = - 14

14x - 14 = - 14

Adding 14 to the left hand side and the right hand side of the equation, it becomes

14x - 14 + 14 = - 14 + 14

14x = 0

Dividing the left hand side and the right hand side of the equation by 14, it becomes

x = 0

Substituting x = 0 into equation 2, it becomes

y = - 6 × 0 + 7

y = 7

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