Question

y = 1/2x + 8y = cx + 10In the system of equations above, c is a constant. Ifthe system has no solution, what is the value of c?

Answer 1

y = 1/2x + 8



y = cx + 10

In the system of equations above, c is a constant. If

the system has no solution, what is the value of c?

so, y=y

`\begin{gathered} (x)/(2)+8=cx+10 \\ solve\text{ for x} \\ \\ (x)/(2)-cx=10-8 \\ x((1)/(2)-c)=2 \\ x((1)/(2)-c)=2 \\ \end{gathered}`

this equation is indefinde when 1/2 - c= 0, there is not value for x that makes the equation true

`\begin{gathered} (1)/(2)-c=0 \\ (1)/(2)=c \end{gathered}`

so, the value of c =0.5