Question

for x= 1/5 and y=3/7 verify that -(x+y)=(-x)+ (-y)

Answer 1

Put the value of x and y
-(1/5+3/7)=-1/5+(-3/7)
-(7+15/35)=-7-15/35
-22/35=-22/35
verified

Answer 2

It is verified -(x + y) = (- x)+ (-y) for x = $\frac{1}{5}$ and y = $\frac{3}{7}$ .

Given:

x = $\frac{1}{5}$ and y = $\frac{3}{7}$

To verify:

-(x + y) = (- x)+ (-y)

Concept used:

First substitute the value of x and y in LHS and solve it and then substitute the value of x and y in RHS and solve it.

After solving we get LHS = RHS .

Solution:

Step 1: Substitute the value of x and y in LHS :  - (x + y)

LHS =  -(x + y)

LHS =  $- (\frac{1}{5} + \frac{3}{7})$

LHS = $- (\frac{1 \times 7 + 3 \times 5}{35})$

[LCM of 5 and 7 = 35]

LHS =  $-( \frac{7 + 15}{35})$

LHS = $- \frac{22}{35}$

Step 2: Substitute the value of x and y in RHS :  (- x)+ (-y)

RHS = (- x)+ (-y)

RHS = $(- \frac{1}{5}) +(- \frac{3}{7})$ 

RHS = $(\frac{-1 \times 7 + (-3 \times 5) }{35})$  

[LCM of 5 and 7 = 35]

RHS = $(\frac{ -7 -15 }{35})$  

RHS = $(\frac{ -22 }{35})$

RHS = $- \frac{22}{35}$

From step 1 and 2 we see that LHS = RHS.

Hence, -(x + y) = (- x)+ (-y) it is verified.

Learn more on Brainly:

Verify the following. (-7/11+2/-5)+-13/22=-7/11+(2/-5+-13/22)

https://brainly.in/question/3220113

Question 5 Name the property under multiplication used in each of the following:

(i) -4/5 x 1 = 1 x (-4/5) = -4/5

(ii) -13/17 x -2/7 = -2/7 x -13/17

(iii) -19/29 x 29/-19 = 1

https://brainly.in/question/1445437

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