Question

Solve By Elimination Method 2x+y=5 3x-2y=8​

Answer 1

Answer:

• $x = \frac{18}{7}$
• $y = \frac{-1}{7}$

Explanation:

Given pair of linear equations:

⭐2x + y = 5 ----------------------------------------( 1 )

⭐ 3x - 2y = 8​ --------------------------------------( 2 )

To find:

The value of x and y by using elimination method

Proof:

Multiplying equation ( 1 ) by 2, we get:

2 ( 2x + y = 5 )

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

Adding equation ( 2 ) and ( 3 ), we get:

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

⇒ 3x - 2y + 4x + 2y = 18

⇒ 3x + 4x - 2y + 2y = 18

⇒ 7x = 18

⇒ $x = \frac{18}{7}$

Substituting the value of x in equation ( 1 ), we get:

= 2x + y = 5

⇒ $2 (\frac{18}{7}) + y = 5$

⇒ $\frac{36}{7} + y = 5$

⇒ $y = 5 - \frac{36}{7}$

⇒ $y = \frac{35-36}{7}$

⇒ $y = \frac{-1}{7}$

★ Hence, the solution of the pair of linear equations

    = $x = \frac{18}{7}$ &  $y = \frac{-1}{7}$

    Proved.

Hope you got that.

Thank You.