Question

Write four solution of 3x+y=9

Answer 1

$\underline{\mathfrak{\huge{Answer:}}}$

$\sf{We're \:given\:that:}$

The equation :- 3x + y = 9

$\sf{We\:need\:to\:find\:that:}$

Any four solutions of this given equation.

$\sf{The\:method\:will\:be:}$

We'll start with assuming the values of any one variable. This will help us to find the value of the second variable easily. Generally, this method is used by assuming the value of first variable (here, it is : x), but assuming the value of the second variable (here, it is : y) is also widely acceptable.

$\mathbb{CASE\:1}$

When x = 0

=》 3 (0) + y = 9

=》 y = 9

$\tt{(0,9)}$

$\mathbb{CASE\:2}$

When x = 1

=》 3 (1) + y = 9

=》 y = 6

$\tt{(1,6)}$

$\mathbb{CASE\:3}$

When x = 2

=》 3 (2) + y = 9

=》 y = 3

$\tt{(2,3)}$

$\mathbb{CASE\:4}$

When x = 3

=》 3 (3) + y = 9

=》 y = 0

$\tt{(3,0)}$

Thus, the above mentioned are the four $\bf{basic}$ solutions of the given equation.

$\sf{Note:}$ I've assumed the value of x, but you can even solve it by assuming the value of y. The same thing, I mentioned in the very starting.

Answer 2

Answer:

when x =0

= 3(0)+y=9

y=9

when x =1

=3(1)+y=9

y=6

when x=2

=3(2)+y=9

y=3