Question

17. How many solutions does thesystem of equations have?4x + 5y = 65y + 4x = 8A one solutionB) two solutionsC infinitely many solutionsno solution

Answer 1

we have the following:

$\begin{gathered} 4x+5y=6 \\ 5y+4x=8 \end{gathered}$

solving:

$\begin{gathered} 4x+5y=6 \\ x=\frac{6-5y}{4} \end{gathered}$

replacing:

$\begin{gathered} 5y+4\cdot\frac{6-5y}{4}=8 \\ 5y+6-5y=8 \\ 6=8 \end{gathered}$

therefore, the system no solutions