4) While solving the following 2x2 system of equations by graphing, you discover the two lines that
represent the two equations in the system are overlapping lines. Identify the choice below that
describes the general solution to this system.
a) \(\left(\frac{2y-4}{3}, y\right)\)
b) \(\left(\frac{-3y+6}{2}, y\right)\)
c) \(\left(x, \frac{2x-4}{3}\right)\)
d) \(\left(x, \frac{-3x+6}{2}\right)\)
\frac{-6}{3}\begin{pmatrix} 3x + 2y = 6\\6x + 4y = 12 \end{pmatrix}
3 + 2(3) = 6
3x + 6 = 6
\frac{6}{18}
\frac{4}{4}
\frac{8}{4}
x + 4y = -12
4x + 4y = 12
-6(-18x - 12y = -36)
18x + 12y =
-2\begin{pmatrix} -6x - 12y = -36\\6x + 4y = 12 \end{pmatrix}
\frac{-24}{-8y = -24}
-8y = -8
y = 3
