Question

Find the solution of the following pair of linear equations, by

using the Elimination method.

2x + 3y = 1

3x – 4y = 10
Please write step by step ​

Answer 1

$\huge\bold{Solution :}$

2x + 3y = 1

3x - 4y = 10

➙ 3( 2x + 3y = 1 )

2( 3x - 4y = 10 )

6x + 9y = 3

- 6x - 8y = 20

__________

0 + 17y = -17

➙ 17y = -17

➙ y = -17/17

➙ y = - 1

__________

Value of y = - 1

Let us find the value of x

2x + 3y = 1

➙ 2x + 3y(-1) = 1

➙ 2x - 3 = 1

➙ 2x = 1 + 3

➙ 2x = 4

➙ x = 4/2

➙ x = 2

Value of x = 2

$\Large{\underline{\underline{\bf{Verification :-}}}}$

3x - 4y = 10

➙ 3(2) -4(-1) = 10

➙ 6 + 4 = 10

➙ 10 = 10

.°. L.H.S = R.H.S

$\Large{\underline{\underline{\bf{Answer :-}}}}$

x = 2

y = -1

_______________________

Hope it's helpful :)

Answer 2

Answer:

2x + 3y = 1....( 1 )

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

By Subtracting 1 from equation (2)

3x - 4y = 10

therefore, 2x - 3y = 9.....(3)

By adding equation (1) and (3)

2x + 3y = 1

2x - 3y = 9

4x = 10/4

x = 2

x=2

By Substituting x = 2 in equation (1)

2x + 3y = 1

therefore, 2(2) + 3y = 1

4 + 3y = 1

3y = 1 - 4

3y = 3

y = 3/3

y = 1

y=1

Therefore, the value of x = 2 and the value of y = 1.