What is 7x+5y=-12-7x−7y=14

x = - 1

y = - 1

Step-by-step explanation:

The given system of equations is expressed as

7x + 5y = - 12- - - - - -- - - - - - - - - -1

- 7x - 7y = 14- - - - -- - - - - - - - - -2

Applying the elimination method, we would eliminate x by adding equation 1 to equation 2. It becomes

5y - 7y = - 12 + 14

- 2y = 2

Dividing the left hand side and the right hand side of the equation by

- 2, it becomes

- 2y/-2 = 2/-2

y = - 1

Substituting y = - 1 into equation 1, it becomes

7x + 5 × - 1 = - 12

7x - 5 = - 12

Adding 5 to the left hand side and the right hand side of the equation, it becomes

7x - 5 + 5 = - 12 + 5

7x = - 7

Dividing the left hand side and the right hand side of the equation by

7, it becomes

7x/7 = - 7/7

x = - 1