# 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
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

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).

### Relevant Questions

$$\displaystyle{x}-{y}=-{2}{\left({1},{3}\right)}$$
$$\displaystyle{3}{x}-{y}=-{2}$$
is the ordered pair a solution of the system of linear equations.
or not a solution
Determine whether the ordered pair is a solution to the given system of linear equations.
(1,2)
3x-y=1
2x+3y=8
Determine whether the ordered pair is a solution to the given system of linear equations.
(5,3)
x-y=2
x+y=8
Each equation in a system of linear equations has infinitely many ordered-pair solutions.Determine whether the statement makes sense or does not make sense, and explain your reasoning.
Solve the following linear and quadratic systems of equations:
y + 3x = -2 or 3x +2 = y
$$y = x^2$$
a. Show all work in solving your system of equations algebraically.
b. Graph your system of equations and show the solution graphically to verify your solution.
Determine if (1,3)is a solution to given system of linear equations
y-2x=3
3x-2y=5
Determine if (1,3) is a solution to the given system of linear equations.
$$\displaystyle{5}{x}+{y}={8}$$
$$\displaystyle{x}+{2}{y}={5}$$
2.(1,2) $$\displaystyle{\left\lbrace\begin{array}{c} {3}{x}-{y}={1}\\{2}{x}+{3}{y}={8}\end{array}\right.}\rbrace$$