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​

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.