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
[tex]\begin{gathered} \frac{x}{2}+8=cx+10 \\ solve\text{ for x} \\ \\ \frac{x}{2}-cx=10-8 \\ x(\frac{1}{2}-c)=2 \\ x(\frac{1}{2}-c)=2 \\ \end{gathered}[/tex]this equation is indefinde when 1/2 - c= 0, there is not value for x that makes the equation true
[tex]\begin{gathered} \frac{1}{2}-c=0 \\ \frac{1}{2}=c \end{gathered}[/tex]so, the value of c =0.5
