Solve by the substitution method. x+9y=55 4x+8y=24 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution of the system is square (Type an ordered pair.) B. There are infinitely many solutions in the form (x,square ) C. There is no solution

To solve the system of equations using the substitution method, we can start by solving one of the equations for one variable and then substituting it into the other equation.<br /><br />Let's solve the first equation for $x$:<br /><br />$x + 9y = 55$<br /><br />Subtracting $9y$ from both sides, we get:<br /><br />$x = 55 - 9y$<br /><br />Now, we can substitute this expression for $x$ into the second equation:<br /><br />$4x + 8y = 24$<br /><br />Substituting $x = 55 - 9y$, we have:<br /><br />$4(55 - 9 8y = 24$<br /><br />Expanding and simplifying, we get:<br /><br />$220 - 36y + 8y = 24$<br /><br />Combining like terms, we have:<br /><br />$220 - 28y = 24$<br /><br />Subtracting 220 from both sides, we get:<br /><br />$-28y = -196$<br /><br />Dividing both sides by -28, we find:<br /><br />$y = 7$<br /><br />Now that we have the value of $y$, we can substitute it back into the expression for $x$:<br /><br />$x = 55 - 9y$<br /><br />Substituting $y = 7$, we have:<br /><br />$x = 55 - 9(7)$<br /><br />Simplifying, we get:<br /><br />$x = 55 - 63$<br /><br />$x = -8$<br /><br />Therefore, the solution to the system of equations is $(-8, 7)$.<br /><br />So, the correct choice is A. The solution of the system is $(-8, 7)$.