Question

Can you solve the equation 2/3(4x - 5)= 8 by using the division property of equality? explain.

Answer 1

`(2)/(3)(4x-5)=8\qquad|\text{use the division property of equality}\\\\(2)/(3)(4x-5):(2)/(3)=8:(2)/(3)\\\\(2)/(3)(4x-5)\cdot(3)/(2)=8\cdot(3)/(2)\\\\4x-5=4\cdot3\\\\4x-5=12\qquad|\text{use addition property of equality}\\\\4x-5+5=12+5\\\\4x=17\qquad|\text{use the division property of equality}\\\\4x : 4=17:4\\\\x=(17)/(4)`