How do you solve #T = (3/10)(Z - 12,000)# for Z?
1 Answer
Explanation:
Given,
#T=3/10(Z-12000)#
Use the distributive property,
#T=3/10(Z)+3/10(-12000)#
#T=3/10Z+(3xx-12000)/10#
#T=3/10Z-36000/10#
#T=3/10Z-3600#
Isolate for
#Tcolor(white)(i)color(red)(+3600)=3/10Z-3600color(white)(i)color(red)(+3600)#
#T+3600=3/10Z#
Divide both sides by
#color(red)((color(black)(T+3600))/(3/10))=color(red)((color(black)(3/10Z))/(3/10))#
#color(red)((color(black)(T+3600))/(3/10))=color(red)((color(black)(color(blue)cancelcolor(black)(3/10)Z))/(color(blue)cancelcolor(red)(3/10)))# Note: Recall that dividing by a fraction is the same as multiplying by its reciprocal!
#Z=color(green)(|bar(ul(color(white)(a/a)color(black)(10/3(T+3600))color(white)(a/a)|)))#