Question

1. Express each of the following statements in the form of a linear equation in two variables:

(i) The sum of the ordinate and abscissa of a point is 6.

(ii) The cost of 2 oranges and 3 apples is 45.

(iii) The cost of a table is six times the cost of a chair.

(iv) Two numbers are such that three times of one is same as five times of the other.

(v) The cost of half a dozen eggs is the same as the cost of one bread.

(vi) A set of pens consisting of one ballpoint pen and one ink pen costs 200.​

Answer 1

Answer:

Step-by-step explanation:

Let the point be (x,y)

Given sum of abscissa and ordinate is 6

=>x+y=6 is the linear equation in 2 variables

Let, the cost of a fountain pen be Rs.x

Half the cost of fountain pen =Rs.  

2

1

​

x

Let, the cost of a ball pen be Rs.y

According to the question

y=  

2

1

​

x−5