Question

GG.1 Is (x, y) a solution to the system of equations?
N46
Is (
–
5,6) a solution to this system of equations?
15x+14y=9
18x+18y=18

Answer 1

To determine if \( (-5, 6) \) is a solution to the system of equations, we need to substitute \( x = -5 \) and \( y = 6 \) into both equations and check if they are true.

1. The first equation is:
\[
15x + 14y = 9
\]
Substituting \( x = -5 \) and \( y = 6 \):
\[
15(-5) + 14(6) = -75 + 84 = 9
\]
This equation holds true.

2. The second equation is:
\[
18x + 18y = 18
\]
Again substituting \( x = -5 \) and \( y = 6 \):
\[
18(-5) + 18(6) = -90 + 108 = 18
\]
This equation also holds true.

Since \( (-5, 6) \) satisfies both equations, it is indeed a solution to the system of equations.