Question

Решите уравнения:1) |m+8|=22) |15+ n|=3ПОМОГИТЕ ПЛИИЗ!!!

Answer 1

1) m=2+8
m=10
2) n=15+3
n= 18

Answer 2

Solving the Equations

To solve the given equations, let's break them down one by one:

1) |m + 8| = 22

To solve this equation, we need to consider two cases: when the expression inside the absolute value is positive and when it is negative.

Case 1: m + 8 > 0 In this case, we can remove the absolute value signs and solve for m: m + 8 = 22 m = 22 - 8 m = 14

Case 2: m + 8 < 0 In this case, we need to change the sign of the expression inside the absolute value and solve for m: -(m + 8) = 22 -m - 8 = 22 -m = 22 + 8 -m = 30 m = -30

Therefore, the solutions to the equation |m + 8| = 22 are m = 14 and m = -30.

2) |15 + n| = 3

Again, we need to consider two cases: when the expression inside the absolute value is positive and when it is negative.

Case 1: 15 + n > 0 In this case, we can remove the absolute value signs and solve for n: 15 + n = 3 n = 3 - 15 n = -12

Case 2: 15 + n < 0 In this case, we need to change the sign of the expression inside the absolute value and solve for n: -(15 + n) = 3 -15 - n = 3 -n = 3 + 15 -n = 18 n = -18

Therefore, the solutions to the equation |15 + n| = 3 are n = -12 and n = -18.

Summary of Solutions

The solutions to the given equations are: 1) m = 14 and m = -30 2) n = -12 and n = -18

I hope this helps! Let me know if you have any further questions.