Question

1) 6m+m-35=21 2) 17n+14n-145=134 3) 5n+9n+32=200

Answer 1

1)
6m+m-35=21
7m=21+35
7m=56
m=56:7
m=8

2)
17n+14n-145=134
31n=134+145
31n=279
n=279:31
n=9

3)
5n+9n+32=200
5n+9n=200-32
14n=168
n=168:14
n=12

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Answer 2

7m-35=21
7m=21+35
7m=56
m=56:7
m=8
31n-145=134
31n=134+145
31n=279
n=279:31
n=9
14n+32=200
14n=200-32
14n=168
n=168:14
n=12

Answer 3

To solve these equations, you'll want to isolate the variable (m or n) on one side of the equation. Here are the solutions for each of the equations:

1. 6m + m - 35 = 21

Combine like terms:

7m - 35 = 21

Now, isolate the variable 'm' by adding 35 to both sides of the equation:

7m = 21 + 35 7m = 56

Finally, divide both sides by 7 to find the value of 'm':

m = 56 / 7 m = 8

So, the solution to the first equation is m = 8.

2. 17n + 14n - 145 = 134

Combine like terms:

31n - 145 = 134

Now, isolate the variable 'n' by adding 145 to both sides of the equation:

31n = 134 + 145 31n = 279

Finally, divide both sides by 31 to find the value of 'n':

n = 279 / 31 n = 9

So, the solution to the second equation is n = 9.

3. 5n + 9n + 32 = 200

Combine like terms:

14n + 32 = 200

Now, isolate the variable 'n' by subtracting 32 from both sides of the equation:

14n = 200 - 32 14n = 168

Finally, divide both sides by 14 to find the value of 'n':

n = 168 / 14 n = 12

So, the solution to the third equation is n = 12.