Question

If 5x-3y = 8 ; 3x+y = 2
Then value of x and y ?

Answer 1

Step-by-step explanation:

(3x+y=2)----{2}

{2}×3= 9x+3y=6

+ 5x-3y=8

___________

14x=14

x=1

3x+y=2

3×1+y=2

y=-1

Answer 2

Answer:

The solution of the given simultaneous equations is

( x, y ) = ( 1, - 1 ).

Step-by-step-explanation:

5x - 3y = 8 - - - ( 1 )

3x + y = 2 - - - ( 2 )

Multiplying both sides of equation ( 2 ) by 3, we get,

9x + 3y = 6 - - - ( 3 )

By adding equation ( 1 ) and equation ( 3 ), we get,

5x - 3y = 8 - - - ( 1 )

+ 9x + 3y = 6 - - - ( 3 )

_______________

14x = 14

➞ x = 1

By substituting x = 1 in equation ( 2 ), we get,

3x + y = 2 - - - ( 2 )

➞ 3 × 1 + y = 2

➞ 3 + y = 2

➞ y = 2 - 3

➞ y = - 1

The solution of the given simultaneous equations is ( x, y ) = ( 1, - 1 ).

Additional Information:

1. Linear Equations in two variables:

The equation with the highest index ( degree ) 1 is called as linear equation. If the equation has two different variables, it is called as 'linear equation in two variables'.

The general formula of linear equation in two variables is ax + by + c = 0.

Where, a, b, c are real numbers and

a ≠ 0, b ≠ 0.

2. Solution of a Linear Equation:

The value of the given variable in the given linear equation is called the solution of the linear equation.