Question

156. Решите уравнение: 1) 6m + m - 35 = 21; - = 2) 17n + 14n - 145 = 134 3) 5n + 9n + 32 = 200; =​

Answer 1

Ответ:

1) 6m+m-35=21 2)17n+14n-145=134

7m=56 31n=279

m=56:7 n=279:31

m=8 n=9

3)5n+9n+32=200

14n=168

n=168:14

n=12

Answer 2

Решение уравнений:

1) 6m + m - 35 = 21

To solve this equation, we can combine the like terms on the left side of the equation:

7m - 35 = 21

Next, we can isolate the variable by adding 35 to both sides of the equation:

7m - 35 + 35 = 21 + 35

Simplifying, we get:

7m = 56

Finally, we can solve for m by dividing both sides of the equation by 7:

7m/7 = 56/7

m = 8

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

2) 17n + 14n - 145 = 134

Similar to the first equation, we can combine the like terms on the left side:

31n - 145 = 134

Next, we can isolate the variable by adding 145 to both sides:

31n - 145 + 145 = 134 + 145

Simplifying, we get:

31n = 279

Finally, we can solve for n by dividing both sides of the equation by 31:

31n/31 = 279/31

n = 9

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

3) 5n + 9n + 32 = 200

Again, we can combine the like terms on the left side of the equation:

14n + 32 = 200

Next, we can isolate the variable by subtracting 32 from both sides:

14n + 32 - 32 = 200 - 32

Simplifying, we get:

14n = 168

Finally, we can solve for n by dividing both sides of the equation by 14:

14n/14 = 168/14

n = 12

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

To summarize: 1) m = 8 2) n = 9 3) n = 12