Answer:
0 = 20 is false, therefore the system of equations has no solution.
NO SOLUTION
Step-by-step explanation:
Given the system of equations
[tex]\begin{bmatrix}4x+6y=-12\\ 2x+3y=4\end{bmatrix}[/tex]
solving the system by the elimination method
[tex]\begin{bmatrix}4x+6y=-12\\ 2x+3y=4\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}2x+3y=4\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:4x+6y=8[/tex]
[tex]\begin{bmatrix}4x+6y=-12\\ 4x+6y=8\end{bmatrix}[/tex]
subtracting the equations
[tex]4x+6y=8[/tex]
[tex]-[/tex]
[tex]\underline{4x+6y=-12}[/tex]
[tex]0=20[/tex]
0 = 20 is false, therefore the system of equations has no solution.
NO SOLUTION
