# If xy = 10, then x and y vary ______ with each other

**Solution:**

When x and y are in inverse proportion with each other we write:

x ∝ 1/y,

x = k/y

xy = k

Hence,

If xy = 10

It can be stated that variables x and y are__ inversely proportional__ to each other.

**✦ Try This: **If the relationship between variables x and y is represented by the following table below, identify the relationship between x and y.

x |
18 |
9 |
6 |
12 |
36 |

y |
2 |
4 |
6 |
3 |
1 |

The relation between x and y variables can be ascertained as:

x × y = 18 × 2 = 9 × 4 = 6 × 6 = 12 × 3 = 36 × 1= 36 = k = constant

The relationship between variables can be summarised as:

xy = 36

Hence the variables x and y are inversely proportional to each other.

**☛ Also Check: **NCERT Solutions for Class 8 Maths Chapter 13

**NCERT Exemplar Class 8 Maths Chapter 10 Problem 18**

## If xy = 10, then x and y vary ______ with each other

**Summary:**

If xy = 10, then x and y vary__ inversely__ with each other

**☛ Related Questions:**

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