Question

Is (1,7) a solution to this system of equations?
x+2y=15
2x+2y=16

Answer 1

To determine if (1, 7) is a solution to the system of equations, we need to substitute \( x = 1 \) and \( y = 7 \) into both equations.

1. For the first equation:
\[
x + 2y = 15
\]
Substitute \( x = 1 \) and \( y = 7 \):
\[
1 + 2(7) = 1 + 14 = 15
\]
This equation holds true.

2. For the second equation:
\[
2x + 2y = 16
\]
Substitute \( x = 1 \) and \( y = 7 \):
\[
2(1) + 2(7) = 2 + 14 = 16
\]
This equation also holds true.

Since (1, 7) satisfies both equations, it is a solution to the system of equations.