Question

5x+y=25 y=(3)/(7)x+(23)/(7) Is (4,5) a solution to the system above? True False

Answer 1

Yes, (4,5) is a solution to the system of equations.

Step-by-step explanation:

To check if (4,5) is a solution to the system of equations, substitute the values for x and y into the equations:

1. Equation 1: 5x + y = 25

   Replace x with 4 and y with 5:

   5(4) + 5 = 20 + 5 = 25

   So, the first equation is satisfied.

2. Equation 2: y = (3/7)x + (23/7)

   Replace x with 4 and y with 5:

   5 = (3/7)(4) + (23/7)

   5 = 12/7 + 23/7 = 35/7 = 5

   So, the second equation is also satisfied.

Since both equations are satisfied, (4,5) is indeed a solution to the system of equations.

Learn more about Solution to a system of linear equations