What is the solution to this system of linear equations?

2x + y = 1

3x – y = –6

(–1, 3)
(1, –1)
(2, 3)
(5, 0)
mark this and return

(–1, 3)

Step-by-step explanation:

The given system of linear simultaneous equations is expressed as

2x + y = 1 - - - - - - - - - - -1

3x – y = –6 - - - - - - - - - -2

We would eliminate y by adding equation 1 to equation 2. It becomes

2x + 3x = 1 - 6

5x = - 5

Dividing the left hand side and the right hand side of the equation by 5, it becomes

5x/5 = - 5/5

x = - 1

Substituting x = - 1 into equation 1, it becomes

2 × - 1 + y = 1

- 2 + y = 1

Adding 2 to the left hand side and the right hand side of the equation, it becomes

- 2 + 2 + y = 1 + 2

y = 3

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step-by-step explanation:

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