
|х|+3=5 |y|-2=1 |2x|+3=9 |5y|-4=6 3/7+|4x|=1 4+|3y|=7 помогите решить задачу пожалуйста


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Problem Statement
You have provided a set of equations and asked for help in solving them. The equations are as follows:1. |x| + 3 = 5 + |y| 2. -2 = 1 + |2x| + 3 3. 9 + |5y| - 4 = 6 + 3/7 4. |4x| = 1 + 4 5. |3y| = 7
Let's solve these equations step by step.
Equation 1: |x| + 3 = 5 + |y|
To solve this equation, we need to consider two cases: when x is positive and when x is negative.Case 1: x is positive In this case, the equation becomes x + 3 = 5 + |y|. Rearranging the equation, we have x = 2 + |y|.
Case 2: x is negative In this case, the equation becomes -x + 3 = 5 + |y|. Rearranging the equation, we have x = -2 - |y|.
So the solutions for equation 1 are x = 2 + |y| and x = -2 - |y|.
Equation 2: -2 = 1 + |2x| + 3
To solve this equation, we need to consider two cases: when 2x is positive and when 2x is negative.Case 1: 2x is positive In this case, the equation becomes -2 = 1 + 2x + 3. Rearranging the equation, we have 2x = -6, which gives x = -3.
Case 2: 2x is negative In this case, the equation becomes -2 = 1 - 2x + 3. Rearranging the equation, we have 2x = -6, which gives x = -3.
So the solution for equation 2 is x = -3.
Equation 3: 9 + |5y| - 4 = 6 + 3/7
To solve this equation, we need to consider two cases: when 5y is positive and when 5y is negative.Case 1: 5y is positive In this case, the equation becomes 9 + 5y - 4 = 6 + 3/7. Rearranging the equation, we have 5y = 1 - 3/7, which gives y = (1 - 3/7)/5.
Case 2: 5y is negative In this case, the equation becomes 9 - 5y - 4 = 6 + 3/7. Rearranging the equation, we have 5y = 1 - 3/7, which gives y = (1 - 3/7)/5.
So the solution for equation 3 is y = (1 - 3/7)/5.
Equation 4: |4x| = 1 + 4
To solve this equation, we need to consider two cases: when 4x is positive and when 4x is negative.Case 1: 4x is positive In this case, the equation becomes 4x = 1 + 4, which gives x = 5/4.
Case 2: 4x is negative In this case, the equation becomes -4x = 1 + 4, which gives x = -5/4.
So the solutions for equation 4 are x = 5/4 and x = -5/4.
Equation 5: |3y| = 7
To solve this equation, we need to consider two cases: when 3y is positive and when 3y is negative.Case 1: 3y is positive In this case, the equation becomes 3y = 7, which gives y = 7/3.
Case 2: 3y is negative In this case, the equation becomes -3y = 7, which gives y = -7/3.
So the solutions for equation 5 are y = 7/3 and y = -7/3.
In summary, the solutions to the given set of equations are as follows: - Equation 1: x = 2 + |y| and x = -2 - |y| - Equation 2: x = -3 - Equation 3: y = (1 - 3/7)/5 - Equation 4: x = 5/4 and x = -5/4 - Equation 5: y = 7/3 and y = -7/3
Please note that these solutions are based on the given equations. If there are any errors or if you need further clarification, please let me know.


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