Question

Write four solution for each
of the following questions
(1) 2x +y = 7
(11) X=4y​

Answer 1

Hi friend, this ur answer

a)2x + y = 7......(1)
On putting x=0 in equation 1
2x+y=7
2×0+y=7
0+y=7
Y=7
So( 0, 7) is a solution of given equation.
let y=0
2x+y=7
2x+0=7
2x=7
X= 7/2
So(7/2,0) is a solution of given equation.

let x = 1

2x+y=7
2×1+y=7
2+y=7
Y= 7-2
Y=5
(1,5) is the solution.

let x = 2
2x+y=7
2×2+y=7
4+y=7
Y= 7-4
Y= 3
The solution is (2,3)

Hence, the solutions of the given equation are(0,7), (7/2,0),(1,5),(2,3)


b)
x= 4y
Let x = 0
X=4y
0=4y
Y=0/4=0
Y=0
(0,0) is the solution.
Let x= 1
X=4y
1=4y
Y= 1/4
(1,1/4) is the solution.
Let y = 1
X=4y
X=4×1
X=4

(4,1) is the solution.
Let x = 2
X=4y
2=4y
Y=2/4
Y=1/2

(2,1/2) is the solution.

Hence, the solutions of the given equation are(0,0), (1,1/4),(4,1),(2,1/2)