Question

GG.1 Is (x, y) a solution to the system of equations?
N46
Is (
–
6,8) a solution to this system of equations?
y=8
7x+4y=
–
10

Answer 1

To determine if the point \((-6, 8)\) is a solution to the system of equations, we need to check whether this point satisfies both equations.

1. The first equation is:
\[
y = 8
\]
Plugging in \(y = 8\):
\[
8 = 8
\]
This is true, so the point satisfies the first equation.

2. The second equation is:
\[
7x + 4y = -10
\]
Plugging in \(x = -6\) and \(y = 8\):
\[
7(-6) + 4(8) = -10
\]
Calculating the left-hand side:
\[
-42 + 32 = -10
\]
This simplifies to:
\[
-10 = -10
\]
This is also true.

Since the point \((-6, 8)\) satisfies both equations, it is a solution to the system of equations.