Question

The pair of linear equation in two variables formed from the statements are

a) x + y = 13, x + y = 9 b) 2x + y = 13, x + y = 9

c) x + y = 13, 2x + y = 19 d)​

Answer 1

Step-by-step explanation:

a)

x = 13 - y

x = 9 - y

Taking x equal

13 - y = 9 - y

In either of the equation y will be negative

otherwise no result

Answer 2

SOLUTION

COMPLETE QUESTION

TO CHOOSE THE CORRECT OPTION

In the below given layout, the design and measurements has been made such that area of two bedrooms and Kitchen together is 95 sq.

1. The area of two bedrooms and kitchen are respectively equal to

a. 5x , 5y

b. 10x , 5y

c. 5x , 10y

d. x , y

2. Find the length of outer boundary of the layout

a. 27m

b. 15m

c. 50m

d. 54m

3. The pair of linear equation in two variables formed from the statment are

a. x + y = 13 , x + y = 9

b. 2x + y = 13 , x + y = 9

c. x + y = 13, 2x + y = 19

d. none of the above

4. which is the solution satisfying both the equation formed in (3)

a. x = 7 , y = 6

b. x = 8 , y = 5

c. x = 6 , y = 7

d. x = 5 , y = 8

5. find the area of each bedroom

a. 30 sq.m

b. 35 sq.m

c. 65 sq.m

d. 42 sq.m

EVALUATION

1. Length of bedroom 1 = x

Breadth of bedroom 1 = 5

Area of Bedroom 1 = 5.x = 5x

Length of bedroom 2 = x

Breadth of bedroom 2 = 5

Area of Bedroom 2 = 5.x = 5x

Area of two bedrooms = 5x + 5x = 10x

Length of kitchen = y

Breadth of kitchen = 5

Area of kitchen = 5.y = 5y

Hence the correct option is b. 10x , 5y

2. The length of outer boundary of the layout

= Perimeter of the layout

= 2 [ Length + Breadth ]

= 2 ( 15 + 12 ) m

= 2 × 27 m

= 54 m

Hence the correct option is d. 54m

3. Area of two bedrooms and Kitchen together is 95 sq.

So we have ,

10x + 5y = 95

⇒ 2x + y = 19

Again from the figure we see that

x + 2 + y = 15

⇒ x + y = 13

Hence the correct option is

c. x + y = 13, 2x + y = 19

4. The system of linear equations obtained

2x + y = 19 - - - - - - (1)

x + y = 13 - - - - - - - (2)

Equation 1 - Equation 2 gives

x = 6

From Equation 2 we get

y = 13 - 6 = 7

So the solution satisfying both the equation formed in (3) are x = 6 , y = 7

Hence the correct option is c. x = 6 , y = 7

5. The area of each bedroom

= 5x sq.m

= ( 5 × 6 ) sq.m

= 30 sq.m

Hence the correct option is a. 30 sq.m

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