solve by the method of your choice, select correct choice below if it is either a solution set, infinitely many solutions the solution set is (x,y)? or if there is no solution and the solution set is 0
7x-3y=6
2x+y=11

Respuesta :

Answer: it is a solution set

Step-by-step explanation:

The given system of simultaneous linear equations is expressed as

7x-3y=6 - - - - - - - - - -1

2x+y=11 - - - - - - - - - - - 2

We would eliminate x by multiplying equation 1 by 2 and equation 2 by 7. It becomes

14x - 6y = 12

14x + 7y = 77

Subtracting, it becomes

- 13y = - 65

Dividing the left hand side and the right hand side of the equation by - 13, it becomes

- 13y/13 = - 65/- 13

y = 5

Substituting x = 5 into equation 2, it becomes

2x + 5 = 11

Subtracting 5 from the left hand side and the right hand side of the equation, it becomes

2x + 5 - 5 = 11 - 5

2x = 6

Dividing the left hand side and the right hand side of the equation by 2, it becomes

x = 6/2 = 3