Question

If DE=4x-1,EF=9,and DF=9x-22, find the variable of x

Answer 1

$Given:\\\overline{DE}=4X-1\\\overline{EF}=9\\\overline{DF}=9x-22\\\\\overline{DF} \; is \; a \; line \; segment, \; E \; is \; a \; point \; in \; between.\\\\So,\; \overline{DE}+\overline{EF}=\overline{DF}\\4x-1+9=9x-22\\Subtract \; 9x \; on \; both \; sides\\\\4x-9x-1+9=9x-9x-22\\Combine \; like \; terms \; on \; both \; sides\\\\-5x+8=-22\\Subtract \; 8 \; on \; both \; sides\\\\-5x+8-8=-22-8\\-5x=-30\\Divide \; -5 \; on \; both \; sides\\\\\frac{-5x}{-5}=\frac{-30}{-5}\\x=6$