-3x-7y=21 Find the missing value from each of the ordered pairs below so that each is a solution to the equation. a) (0,underline ( )) b) (underline ( ),0) c) (-7,underline ( ))

To find the missing values for each of the given points that satisfy the equation $-3x-7y=21$, we can substitute the x-coordinate or y-coordinate of each point into the equation and solve for the other variable.<br /><br />a) $(0,\underline {\quad })$<br />Substituting $x=0$ into the equation, we get:<br />$-3(0)-7y=21$<br />$-7y=21$<br />$y=-3$<br /><br />Therefore, the missing value for point a) is $-3$.<br /><br />b) $(\underline {\quad },0)$<br />Substituting $y=0$ into the equation, we get:<br />$-3x-7(0)=21$<br />$-3x=21$<br />$x=-7$<br /><br />Therefore, the missing value for point b) is $-7$.<br /><br />c) $(-7,\underline {\quad })$<br />Substituting $x=-7$ into the equation, we get:<br />$-3(-7)-7y=21$<br />$21-7y=21$<br />$-7y=0$<br />$y=0$<br /><br />Therefore, the missing value for point c) is $0$.<br /><br />In summary, the missing values for each of the given points are:<br />a) $(0,-3)$<br />b) $(-7,0)$<br />c) $(-7,0)$