Question

-5=x-3y
11=-3x+7y
This will be elimination

Answer 1

Explanation:

The given system of simultaneous equations is expressed as

-5=x-3y

11=-3x+7y

Rearranging both equations, it becomes

x - 3y = - 5- - - - - - - - - - 1

- 3x + 7y = 11 - - - - - - - - - -2

Multiplying equation 1 by 3 and equation 2 by1, it becomes

3x - 9y = - 15 - - - - - - - - - - -3

- 3x + 7y = 11 - - - - - - - - - - - 4

Adding equation 3 to equation 4, it becomes

- 2y = - 4

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

- 2, it becomes

- 2y/ - 2 = - 4y/- 2

y = 2

Substituting y = 2 into equation 1, it becomes

x - 3 × 2= - 5

x - 6 = - 5

Adding 6 to left hand side and the right hand side of the equation, it becomes

x - 6 + 6= - 5 + 6

x = 1