Question

Is (1,5) a solution to this system of equations?
5x+3y=20
x+2y=11
yes or no

Answer 1

To determine if (1, 5) is a solution to the system of equations, we need to substitute \( x = 1 \) and \( y = 5 \) into both equations.

**First equation:**
\( 5x + 3y = 20 \)
Substituting \( x = 1 \) and \( y = 5 \):
\( 5(1) + 3(5) = 5 + 15 = 20 \)
This is true.

**Second equation:**
\( x + 2y = 11 \)
Substituting \( x = 1 \) and \( y = 5 \):
\( 1 + 2(5) = 1 + 10 = 11 \)
This is also true.

Since both equations are satisfied, the answer is **yes**, (1, 5) is a solution to the system of equations.