(21) Write four solutions of 2x + y = 3.
Answers
answer:
For finding the solutions of linear equation in two variables we use the following steps:
For finding the solutions of linear equation in two variables we use the following steps:1.Put an put an arbitrary value of x or y in given equation and find the corresponding value of other variable.
For finding the solutions of linear equation in two variables we use the following steps:1.Put an put an arbitrary value of x or y in given equation and find the corresponding value of other variable. Thus, we get one pair of solution of given equation.
For finding the solutions of linear equation in two variables we use the following steps:1.Put an put an arbitrary value of x or y in given equation and find the corresponding value of other variable. Thus, we get one pair of solution of given equation.2.Repeat repeat step 1 for another arbitrary value of x or y and get other pair of solution of given equation.
For finding the solutions of linear equation in two variables we use the following steps:1.Put an put an arbitrary value of x or y in given equation and find the corresponding value of other variable. Thus, we get one pair of solution of given equation.2.Repeat repeat step 1 for another arbitrary value of x or y and get other pair of solution of given equation.For convenience , we put x= 0 & get corresponding value of y to find one pair of solution.
For finding the solutions of linear equation in two variables we use the following steps:1.Put an put an arbitrary value of x or y in given equation and find the corresponding value of other variable. Thus, we get one pair of solution of given equation.2.Repeat repeat step 1 for another arbitrary value of x or y and get other pair of solution of given equation.For convenience , we put x= 0 & get corresponding value of y to find one pair of solution.Also we put y = 0 and get corresponding value of x to find 2nd pair solution.
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Solution:
(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, 4 out of the infinitely many solutions of the given equation are(0,7), (7/2,0),(1,5),(2,3)
Hence, 4 out of the infinitely many solutions of the given equation are(0,7), (7/2,0),(1,5),(2,3)
(b) πx + y = 9
let x = 0
πx + y = 9
π×0+y =9
0+y= 9
Y=9
(0,9) is the solution.
Let y = 0
πx + y = 9
πx+0=9
πx=9
x= 9/π
(9/π,0) is the solution.
Let x = 1
πx + y = 9
π×1+y=9
π+y=9
Y= 9-π
(1,9-π) is the solution.
Let x = -1
πx + y = 9
π×-1+y=9
-π+y=9
Y= 9+π
(-1,9+π) is the solution.
Hence, 4 out of the infinitely many solutions of the given equation are(0,9), (9/π,0),(1,9-π),(-1,9+π)
(c) 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, 4 out of the infinitely many solutions of the given equation are(0,0), (1,1/4),(4,1),(2,1/2)
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Answer:
2x+y=3
y=3-2x
Step-by-step explanation:
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