Question

Write two solutions for the equation 5x + y = 1​

Answer 1

Given:-

5x + y = 1

To Find:-

solutions of x and y

Explanation:-

5x + y = 1

x + y =  $\frac{1}{5}$

x = $\frac{1-y}{5}$

Now you can put any value for y to get value of x

Solution - 1

let y be 0

x = $\frac{1-0}{5}$

x = $\frac{1}{5}$

so x = $\frac{1}{5}$  and y = 0

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Solution - 2

let y be 1

x =  $\frac{1-1}{5}$

x = $\frac{0}{5}$

x = 0

so x = 0 and y = 1

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Solution - 3

let y be -1

x = $\frac{1- (-1 )}{5}$

x = $\frac{1+1}{5}$

x = $\frac{2}{5}$

so x = $\frac{2}{5}$ and y = -1

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By Putting Random Values of y, you can get infinite Solutions

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Note:- Linear Equation in two variables has infinite solutions, so you get many solutions, whereas in Linear Equation in one variable has only 1 solution.

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Hope It Helps You ! :D    ^_^

By Abhiram5566

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