Question

choose the correct words from the drop down menu to make a true statement about the system of equations. 2x + 3y=6 y= -2/3x + 4

Answer 1

Solving this system of equations, we have:

$\begin{gathered} \begin{cases}2x+3y=6 \\ y=-\frac{2}{3}x+4\end{cases} \\ \text{Using the value of y from the 2nd equation in the 1st one:} \\ 2x+3(-\frac{2}{3}x+4)=6 \\ 2x-2x+12=6 \\ 12=6 \end{gathered}$

Since we got into a false statement, the system of equation has no solution.