Question

is (-7, -3) a solution to this system of equations?
x = -7
y = -x - 10
yes
no

Explanation:

Step1: Substitute x - value

Given \(x=-7\) in the point \((-7, - 3)\) and the second - equation \(y=-x - 10\). Substitute \(x = - 7\) into \(y=-x - 10\).
\[y=-(-7)-10\]

Step2: Simplify the right - hand side

\[y = 7-10=-3\]
The \(y\) - value from the equation when \(x=-7\) is \(y=-3\), which is the same as the \(y\) - value in the given point \((-7,-3)\). Also, the first equation \(x=-7\) is satisfied by the \(x\) - value of the point.

Answer:

yes