GG.1 Is (x, y) a solution to the system of equations?

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

GPT-4o mini · Answer

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.