Question

y = -3
y = x - 0.8
what is the best approximation for the solution to this system of equations?
○ (-3.2, -3)
○ (-2.9, -3)
○ (-2.2, -3)
○ (-1.9, -3)

Explanation:

Step1: Substitute \( y = -3 \) into \( y = x - 0.8 \)

We know that in a system of equations, the solution is the point where the two equations intersect, so we can substitute \( y = -3 \) into the second equation \( y = x - 0.8 \).
\[
-3 = x - 0.8
\]

Step2: Solve for \( x \)

To solve for \( x \), we add \( 0.8 \) to both sides of the equation:
\[
x = -3 + 0.8
\]
\[
x = -2.2
\]
So the solution to the system of equations is \( (-2.2, -3) \).

Answer:

\((-2.2, -3)\) (corresponding to the option \((-2.2, -3)\))