Question

| y -2 | = 5 |у-1,7| = 4

Answer 1

Пошаговое объяснение:

Пусть

| y -2 | = 5

Тогда

y₁ - 2 = 5

y₂ - 2 = -5

y₁ = 7, y₂ = -3

Пусть

|у-1,7| = 4

Тогда

y₁ - 1,7 = 4

y₂ - 1,7 = -4

у₁ = 5,7 ,  у₂ = -2,3

Answer 2

It looks like you have two equations involving absolute values:

1. |y - 2| = 5
2. |у - 1.7| = 4

To solve these equations, we need to consider both the positive and negative values of the expressions inside the absolute value brackets.

1. |y - 2| = 5: This equation breaks down into two cases: a) y - 2 = 5 b) -(y - 2) = 5

a) y - 2 = 5 Add 2 to both sides: y = 5 + 2 y = 7

b) -(y - 2) = 5 Multiply both sides by -1 and simplify: y - 2 = -5 Add 2 to both sides: y = -5 + 2 y = -3

So, the solutions for the equation |y - 2| = 5 are y = 7 and y = -3.

2. |у - 1.7| = 4: This equation also breaks down into two cases: a) у - 1.7 = 4 b) -(у - 1.7) = 4

a) у - 1.7 = 4 Add 1.7 to both sides: у = 4 + 1.7 у = 5.7

b) -(у - 1.7) = 4 Multiply both sides by -1 and simplify: у - 1.7 = -4 Add 1.7 to both sides: у = -4 + 1.7 у = -2.3

So, the solutions for the equation |у - 1.7| = 4 are у = 5.7 and у = -2.3.

To summarize:

1. |y - 2| = 5 has solutions: y = 7 and y = -3.
2. |у - 1.7| = 4 has solutions: у = 5.7 and у = -2.3.