The statement explains why the ordered pair is a solution to the system of equations.

Is the statement true or false?
The ordered pair (0,−2) is a solution to the system of equations because when​ ​(0,−2)​ is substituted into the equations, both equations are true. ​−5x+y=−23x+5y=−12​

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Answer:

The statement is false.

Step-by-step explanation:

The system of equations is given by,

[tex]-5x+y= -2[/tex]

[tex]3x+5y= -12[/tex]

On substituting (0,-2) in the equations, we get,

[tex]-5\times 0+(-2)=0 -2=-2[/tex]

[tex]3\times 0+5\times (-2) = 0-10=-10\neq -12[/tex]

Since, we see that,

The point (0,-2) does not satisfy the equation [tex]3x+5y= -12[/tex].

Thus, the statement is false.

Answer:

False

Step-by-step explanation:

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