Question

is (-6, 8) a solution to this system of equations
$y = 8$
$7x + 4y = -10$
yes
no

Explanation:

Step1: Check first equation

The first equation is \( y = 8 \). For the point \((-6, 8)\), the \( y \)-coordinate is \( 8 \), so it satisfies \( y = 8 \).

Step2: Check second equation

Substitute \( x = -6 \) and \( y = 8 \) into \( 7x + 4y \):
\[

$$\begin{align*} 7(-6)+4(8)&=-42 + 32\\ &=-10 \end{align*}$$

\]
This matches the right - hand side of the second equation \( 7x + 4y=-10 \).

Answer:

yes