Question

fü) 2x + y = 5
3x + 2y = 8​

Answer 1

Step-by-step explanation:

Here,

2x + y = 5 .

2x = 5 - y

x= ( 5 - y) / 2........1st equation

3x + 2y = 8............2nd equation,

substituting value of x in 2nd equation,

3( 5 -y) / 2 + 2y = 8

(15 - 3y + 4y)/2 = 8

15 + y = 16

y = 1

also,

2x + y= 5

2x + 1 = 5

2x= 6

x= 3

Hence, x= 3 and Y = 1 answer

Answer 2

Answer:

The solution of the given equations is ( x, y ) = ( 2, 1 ).

Step-by-step-explanation:

The given simultaneous equations are

2x + y = 5 and 3x + 2y = 8.

2x + y = 5 - - ( 1 )

3x + 2y = 8 - - ( 2 )

Multiplying equation ( 1 ) by 2, we get,

2 * ( 2x + y ) = 5 * 2

⇒ 4x + 2y = 10 - - ( 3 )

Subtracting equation ( 2 ) from equation ( 3 ), we get,

4x + 2y - ( 3x + 2y ) = 10 - 8

⇒ 4x + 2y - 3x - 2y = 2

⇒ 4x - 3x + 0 = 2

⇒ x + 0 = 2

⇒ x = 2

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

2x + y = 5 - - ( 1 )

⇒ 2 * 2 + y = 5

⇒ 4 + y = 5

⇒ y = 5 - 4

⇒ y = 1

∴ The solution of the given equations is ( x, y ) = ( 2, 1 ).

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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.