Is (5,8) a solution to this system of equations?

Question

x=5
2x+y=18
yes or no

Answer 1

To determine if (5,8) is a solution to the system of equations, we can substitute \(x = 5\) and \(y = 8\) into both equations.

1. For the first equation \(x = 5\):

   • Substituting gives \(5 = 5\), which is true.

2. For the second equation \(2x + y = 18\):

   • Substituting gives \(2(5) + 8 = 18\).
   • This simplifies to \(10 + 8 = 18\), which is also true.

Since (5, 8) satisfies both equations, the answer is yes.