2006-10-12 21:38:53 · 13 answers · asked by BearMan 1 in Science & Mathematics ➔ Mathematics
-7(1 - 4m) = 13(2m - 3)
- 7 + 28m = 26m - 39
The distributive property on both sides of the equation
- 7 + 28m - 26m = 26m - 39 - 26m
Subtracting - 26m on both sides of the equation
- 7 + 2m = - 39
- 7 + 2m + 7 = - 39 + 7
Adding + 7 to both sides of the equation
2m = - 32
2m/2 = - 32/2
Dividing both sides of the equation by 2
m = - 16
The answer is m = - 16
The solution set is { - 16 }
Insert the m value into the equation
- - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Check
- 7(1 - 4m) = 13(2m - 3)
- 7[1 - 4(-16)] = 13[2(- 16) - 3]
- 7 [1 - (- 64] = 13[-32 - 3]
- 7[1 + 64] = 13[- 35]
- 7[65] = - 455
- 455 = - 455
2006-10-13 00:39:40 · answer #1 · answered by SAMUEL D 7 · 0⤊ 0⤋
first step is to remove the brackets by multiplying whats outside the bracket by the two terms inside the bracket and u must watch the signs.
-7(1-4m)=13(2m-3) now see, what u do on the left hand side u do onthe right hand side.
-7x1= -7 and -7x-4m=+28m(watch the signs
13x2m=26m and 13x-3= -39
now wtch -7+28m=26m-39
put the like terms on one side
+7-39=28m-26m
a negative plus a positive= the number plus the sign of the bigger number, in this case 39 is bigger than 7. its the same with the next one
-32=2m we divide both sides by two because we want m to be independant of 2
-32/2 = -16 and 2m / 2 = m
therefore -16=m, i hope u understand the steps
I was taught at school that every step in maths has its own meaning or understanding so its important to not skip steps when solving a problems
from proudly South African :)
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2006-10-13 05:36:17 · answer #2 · answered by Nasta 2 · 0⤊ 0⤋
=> -7(1-4m)=13(2m-3)
=> -7+28m=26m-39
=> 28m-26m= -39+7
=> 2m = -32
=> m = -16
2006-10-13 05:04:56 · answer #3 · answered by Sachin 2 · 0⤊ 0⤋
-7(1-4m) = 13(2m-3)
-7 + 28m = 26m - 39
28m-26m = -39+7
2m = -32
m = -32/2
m = -16
2006-10-13 04:45:04 · answer #4 · answered by ben 2 · 0⤊ 0⤋
-7(1-4m)=13(2m-3)
-7 + 28m = 26m - 39
- 2m = - 32
m = 16
2006-10-13 04:42:41 · answer #5 · answered by aazib_1 3 · 0⤊ 1⤋
-7(1-4m)=13(2m-3)
-7+28m=26m-39
-7+28m-26m+39=0
2m+32=0
2m= -32
m= -32/2 = -16
2006-10-13 07:31:57 · answer #6 · answered by peaceman 4 · 0⤊ 0⤋
=
-7+28m=26m-39
=
2m=-32
m=-16
2006-10-13 05:41:17 · answer #7 · answered by mahesh_07_1990 1 · 0⤊ 0⤋
-7(1-4m) = -7+28m
13(2m-3)= 26m-39
-7 + 28m = 26m- 39
+7 = +7
____________________
28m = 26m - 32
divide both sides by 2
14m = 13m -16
subtract 13m from both sides
m = -16
2006-10-13 05:48:05 · answer #8 · answered by paulofde 1 · 0⤊ 0⤋
-7(1-4m)=13(2m-3)
-7+28m=26m-39
2m=-32
m=-16
2006-10-13 04:44:34 · answer #9 · answered by karun 2 · 0⤊ 0⤋
-7(1-4m)=13(2m-3)
-7+28m=26m-39
28m-26m=-39+7
2m=-32
m=-16
2006-10-13 10:36:03 · answer #10 · answered by Red Falcon 1 · 0⤊ 0⤋