Chapter 5 - Section 5.6 - Solving Equations Containing Decimals - Exercise Set - Page 388: 64

z= 4.3

8.4z -2.6 =5.4z +10.3 Add 2.6 to both sides 8.4z -2.6+2.6 =5.4z +10.3+2.6 8.4z =5.4z +12.9 Subtract 5.4z from both sides 8.4z-5.4z =5.4z +12.9 -5.4z 3z=12.9 $\frac{3z}{3}$=$\frac{12.9}{3}$ z=4.3 Check Replace z with 4.3 8.4z -2.6 =5.4z +10.3 8.4$\times$4.3 -2.6 =5.4$\times$4.3 +10.3 36.12 -2.6=23.22+10.3 33.52=33.52