The correct answers are:
Further explanation:
Given equations are:
2x-y = -5
x+3y = 22
We have to check whether the given statements are true or not. In order to find that we have to put the points in the equations
Putting the point in 2x-y = -5
[tex]2x - y = -5\\2(7) -19 = -5\\14-19 = -5\\-5 = -5[/tex]
Putting the point in x+3y=22
[tex]7 + 3 (19) = 22\\7 + 57 = 22\\64 \neq 22[/tex]
The point satisfies the first equation but doesn't satisfy the second. So,
1. The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true.
This statement is true as the point satisfies the first equation
2. The ordered pair (7, 19) is a solution to the second equation because it makes the second equation true.
This Statement is false.
3. The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.
This statement is true.
4. The ordered pair (7, 19) is a solution to the system because it makes both equations true.
This statement is false as the ordered pair doesn't satisfy both equations.
Keywords: Solution of system of equations, linear equations
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