How do you solve #\frac { 4} { 5} z = - 20#?

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Answer 1 · 2018-03-10T05:50:42

The solution is #z=-25#.

Multiply both sides by #5#, then divide both sides by #4#.

# 4/5z=-20 #

# 4/5zcolor(blue)(*5)=-20color(blue)(*5) #

# 4/color(red)cancelcolor(black)5zcolor(blue)*color(red)cancelcolor(blue)5=-20color(blue)(*5) #

# 4z=-20color(blue)(*5) #

# 4z=-100 #

# color(blue)(color(black)(4z)/4)=color(blue)((color(black)(-100))/4) #

# color(blue)(color(black)(color(red)cancelcolor(black)4z)/color(red)cancelcolor(black)4)=color(blue)((color(black)(-100))/4) #

# z=color(blue)((color(black)(-100))/4) #

# z=-25 #