Is (–6,8) a solution to this system of equations?

Question

y=8
7x+4y=–10
yes or no

Answer 1

To determine if the point \((-6, 8)\) is a solution to the system of equations, we will substitute \(x = -6\) and \(y = 8\) into both equations.

1. For the first equation \(y = 8\): \[ y = 8 \Rightarrow 8 = 8 \quad \text{(True)} \]

2. For the second equation \(7x + 4y = -10\): \[ 7(-6) + 4(8) = -10 \ -42 + 32 = -10 \ -10 = -10 \quad \text{(True)} \]

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