2007-10-24 13:46:29 · 9 answers · asked by victoria r 1 in Science & Mathematics ➔ Mathematics
4 + 5m = - 20m - 6
5m + 20 m = - 6 - 4
25 m = - 10
m = - 10 / 25
m = - 2 / 5
2007-10-26 06:21:21 · answer #1 · answered by Como 7 · 2⤊ 0⤋
Isolate variables on one side of the equation and constants on the other. (Must perform the same operation on both sides to keep the equation true)
Add 4m to each side: (4/5 + m) + 4m = (-4m - 6/5) + 4m
Simplify: 4/5 + 5m = -6/5
Subtract 4/5 from each side: (4/5 + 5m) - 4/5 = (-6/5) - 4/5
Simplify: 5m = -10/5
Simplify: 5m = -2
Divide each side by 5 to isolate m: m = -2/5 = -0.4
2007-10-24 20:53:37 · answer #2 · answered by zchall23 2 · 0⤊ 0⤋
combine the variable on one side.
called m in this equation.
4/5 +m = -4m -6/5.
what can we add to the Right Hand Side (RHS) to get rid of the m (move to the left hand side all m)?
the additive negation of what is already there on the RHS.
-4m +4m = 0. so we add 4m to the RHS, and the LHS.
4/5 + m +4m = -4m =6/5 +4m.
4/5 + 5m = 0m -6/5.
4/5 +5m =-6/5.
since we want to isoltate m on the LHS, we subtract the 4/5.
4/5 -4/5 +5m = -6/5 -4/5.
0/5 +5m = -10/5.
5m = -2.
we want m not 5m, so we divide by the 5.
5m/5 =-2/5.
m =-2/5.
2007-10-24 21:22:14 · answer #3 · answered by eawoodall 6 · 0⤊ 1⤋
add 6/5 to both sides:
4/5+6/5 +m = -4m -6/5+6/5
10/5 + m = -4m
2 +m = -4m
Now subtract m from both sides:
2+m-m = -4m -m
2 = -5m
Now divide by -5:
2/-5 = -5/-5*m
-2/5 = m
Check:
4/5 -2/5 = 2/5
-4(-2/5) -6/5 = 8/5 - 6/5 = 2/5
since they equal each other, that means m = -2/5
2007-10-24 20:53:14 · answer #4 · answered by sayamiam 6 · 0⤊ 0⤋
[09]
4/5 +m= -4m-6/5
The best and the easiest way to solve the equation is to first of all multiply all the terms by 5 to eliminate the fraction
By multiplying both sides by 5
4+5m= -20m-6
5m+20m=-6-4
25m=-10
m=-10/25=-2/5 ans
2007-10-24 20:52:50 · answer #5 · answered by alpha 7 · 0⤊ 1⤋
add 4m to both sides
4/5+5m=-6/5
subtract 4/5 from each side
5m=-2
divide by 5
m=-.4
good luck
2007-10-24 20:53:03 · answer #6 · answered by Lindsey 2 · 0⤊ 0⤋
4/5 + m = -m - 6/5
to eliminate the fractions, multiply throughout by 5
so 4 + 5m = -5m - 6
5m + 5m = -6 - 4
10m = -10
so m = -1
2007-10-24 21:00:17 · answer #7 · answered by johnavaro 3 · 0⤊ 0⤋
denominators of 5 are cleared by multiplying each term by 5 s0 we get
4 + 5m = -20m -6
25m = -10
m = -10/25 or -2/5
2007-10-24 20:53:48 · answer #8 · answered by mathmom 2 · 0⤊ 0⤋
i find it easiest to get rid of the fractions
multiply everything in the problem by 5
you should have
4 + 5m = -20m - 6
then add 20m to both sides
4 + 25m = -6
subtract 4 from both sides
25m = -10
divide both sides by 25
m = -10/25
simplify
m = -2/5
2007-10-24 20:56:42 · answer #9 · answered by I love jason 2 · 0⤊ 1⤋