Question

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

Forms of linear equations
ANSWERED
asked 2021-01-27
\(\displaystyle{x}-{y}=-{2}{\left({1},{3}\right)}\)
\(\displaystyle{3}{x}-{y}=-{2}\)
is the ordered pair a solution of the system of linear equations.
or not a solution

Answers (1)

2021-01-28

Given
\(\displaystyle{x}-{y}=-{2}---{\left({1}\right)}\)
\(\displaystyle{3}{x}-{y}=-{2}---{\left({2}\right)}\)
From equation(1),we get the value of x in terms of y as
\(\displaystyle{x}-{y}=-{2}\)
\(\displaystyle{x}={y}=-{2}----{\left({3}\right)}\)
on substituting value of \(x=y-2\) from eq(3) to q(2),we get the value of y as
\(\displaystyle{3}{\left({y}-{2}\right)}-{y}=-{2}\)
\(\displaystyle{3}{y}-{6}-{y}=-{2}\)
\(\displaystyle{2}{y}={4}\)
\(\displaystyle{y}={2}\)
Now substitute value of \(y=2\) in eq(3),we get value of x as
\(\displaystyle{x}={2}-{2}\)
\(\displaystyle{x}={0}\)
Hence (0,2) is an ordered pair solution, not (1,3)

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