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# It is known that x + y = 10 and that x = z. Show that z + y = 10. Solve using Euclid’s axiom

**Solution:**

Given, x + y = 10 --------- (1)

Also, x = z ------------------ (2)

We have to show that z + y = 10

Using Euclid’s second axiom,

If equals are added to the equals, the wholes are equal.

From (2),

x + y = z + y

From (1),

z + y = 10

Therefore, z + y = 10

**✦ Try This: **It is known that a + b = 2 and that a = c. Show that c + b = 2?

**☛ Also Check: **NCERT Solutions for Class 9 Maths Chapter 5

**NCERT Exemplar Class 9 Maths Exercise 5.3 Problem 2**

## It is known that x + y = 10 and that x = z. Show that z + y = 10. Solve using Euclid’s axiom

**Summary:**

It is known that x + y = 10 and x = z. Using Euclid’s second axiom, it is shown that z + y = 10

**☛ Related Questions:**

- Look at the Fig. 5.3. Show that length AH > sum of lengths of AB + BC + CD. Solve using Euclid’s axi . . . .
- In Fig.5.4, we have AB = BC, BX = BY. Show that AX = CY. Solve using Euclid’s axiom
- In Fig.5.5, we have X and Y are the mid-points of AC and BC and AX = CY. Show that AC = BC. Solve us . . . .

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