x-y=-2 (1,3) 3x-y=-2 is the ordered pair a solution of the system of linear equations. solution or not a solution

Question
Forms of linear equations
asked 2020-11-08
x-y=-2 (1,3)
3x-y=-2
is the ordered pair a solution of the system of linear equations.
solution or not a solution

Answers (1)

2020-11-09
We have,
x−y=-2----1
3x−y=−2----2
From equation (1), we get the value of x in terms of y as
x−y=−2
x=y−2 ⋯⋯(3)
On substituting the value of x=y−2 from equation (3) to equation (2), we get the value of y as
3(y−2)−y=-2
3y−6−y=-2
2y=4
y=2
Now substitute value of y=2 in equation (3), we get value of x as
x=2−2
x=0
Hence, (0,2) is an ordered pair of solution, not the (1,3).
0

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