What is the value of m in the equation 38(m−29)=434 ?

2 Answers
Mar 28, 2018

#m~~40.42#

Explanation:

Given: #38(m-29)=434#

Divide by #38#.

#(color(red)cancelcolor(black)38(m-29))/(color(red)cancelcolor(black)38)=434/38#

#m-29=11.42# (since #434/38~~11.42#)

Add #29# to both sides.

#m-color(red)cancelcolor(black)29+color(red)cancelcolor(black)29=11.42+29#

#m~~40.42#

Mar 28, 2018

#m=768/19#

Explanation:

#38(m -29)=434#

Start by using the distributive property.

#(38)(m)+(38)(-29)= 434#

#38m - 1102=434#

Then add #1102# on both sides

#38m - 1102 + 1102 = 434 + 1102#

#38m= 1536#

Finally, divide both sides by 38 to find #m#

#(cancel38m)/cancel38 = 1536/38#

#m=768/19#