Question

How many solutions does the system of equations below have?4x − 8y = –17x − 14y = 4No solutionOne solutionInfinitely solutions

Answer 1

`\begin{gathered} 4x-8y=-1 \\ 7x-14y=4 \end{gathered}`

start clearing the x in the first equation

`\begin{gathered} 4x=-1+8y \\ x=-(1)/(4)+2y \end{gathered}`

insert this equation into the second one

`\begin{gathered} 7\cdot(-(1)/(4)+2y)-14y=4 \\ -(7)/(4)+14y-14y=4 \\ -(7)/(4)\\e4 \end{gathered}`

the system has no solution