Question

lukas graphed the system of equations shown.
$2x + 3y = 2$
$y = \frac{1}{2}x + 3$
what is the solution to the system of equations?
$(-2, 2)$
$(0, 3)$
$(0, 0.67)$
$(1, 0)$

Explanation:

Step1: Recall system solution

The solution to a system of linear equations graphed is the point where the two lines intersect.

Step2: Identify intersection point

Looking at the graph, the two lines (representing \(2x + 3y = 2\) and \(y=\frac{1}{2}x + 3\)) intersect at the point \((-2, 2)\).

Answer:

\((-2, 2)\) (corresponding to the option with \((-2, 2)\))