Question

Find two solutions of the linear equation 2x – 3y = 14.

Answer 1

Answer:

HIII

Step-by-step explanation:

2x - 3y = 14

let y = 2

2x - 3(2)= 14

  2x - 6 = 14

       2x = 14+6

       2x = 20

           x=20/2

            x=10

therefor one of the solution is (10,2)

let y = 0

2x - 3(0) = 14

   2x - 0 = 14

        2x = 14

          x = 14/2

           x=7

therefore other solution is (7,0)

REQUIRED SOLUTIONS ARE (10,2) & ( 7,0)

HOPE IT HELPS U !!!

Answer 2

$\sf\huge\bold{Answer:}$

Given :

Linear Equation 2x -3y = 14

To find :

Two solution of above equation

Solution :

$\sf{2x-3y=14}$

Let us consider values of x to get values of y.

$\fbox{Case 1 [when x = 1 ]}$

$\sf{:⟶ 2x-3y=14}$

$\sf{:⟶ 2( 1 ) - 3y = 14}$

$\sf{:⟶ 2 - 3y = 14}$

$\sf{:⟶ - 3y = 14 - 2 }$

$\sf{:⟶ - 3y = 12}$

$\sf{:⟶ y = \frac{12}{-3}}$

$\sf\purple{:⟶ y = -4}$

$\fbox{Case 2 [when x = 7 ]}$

$\sf{:⟶ 2x-3y=14}$

$\sf{:⟶ 2(7) - 3y = 14}$

$\sf{:⟶ 14 - 3y = 14}$

$\sf{:⟶ - 3y = 14 - 14}$

$\sf{:⟶ - 3y = 0}$

$\sf{:⟶ y = \frac{0}{-3}}$

$\sf\purple{:⟶ y = 0}$

$\huge\mathcal{Solutions\:of\:2x-3y=14\:are:}$

$\sf\huge\purple{(1,-4) and (7,0)}$

$\fbox{Note : }$

• We can assure any variable x or y to get the value of another variable.
• We can assure any value of x and with every different value you'll get different value of y as well as a different solution set.
• A linear equation has infinite solutions because it forms a line and a line is infinitely long.
• Every point on the line formed represent the solution pair of the linear equation.