Question

|х|+3=5 |2х|+3=9 |у|-2=1

Answer 1

|x|+3=5. 2x+3=9. y-2=1
x=5-3. 2x=9-3. y=1+2
x=2. 2x=6. y=3
x=2

Answer 2

Х1 5 х26 х26....................

Answer 3

It looks like you've written a set of equations involving absolute values and variables x and y. To solve these equations, we'll isolate the variables and consider the cases when the absolute value expressions are positive and negative. Here's how to solve each equation:

1. |x| + 3 = 5:

   Subtract 3 from both sides: |x| = 5 - 3 |x| = 2

   Now, consider two cases for the absolute value:

   Case 1: x is positive x = 2

   Case 2: x is negative -x = 2 x = -2

   So, the solutions for this equation are x = 2 and x = -2.

2. |2x| + 3 = 9:

   Subtract 3 from both sides: |2x| = 9 - 3 |2x| = 6

   Now, consider two cases for the absolute value:

   Case 1: 2x is positive 2x = 6 x = 6/2 x = 3

   Case 2: 2x is negative -2x = 6 x = 6/(-2) x = -3

   So, the solutions for this equation are x = 3 and x = -3.

3. |y| - 2 = 1:

   Add 2 to both sides: |y| = 1 + 2 |y| = 3

   Now, consider two cases for the absolute value:

   Case 1: y is positive y = 3

   Case 2: y is negative -y = 3 y = -3

   So, the solutions for this equation are y = 3 and y = -3.