Question

Find the solution for the pair of linear equations by any suitable method.
3x + 2y - 7= 0
4x + y. -6= 0​

Answer 1

3x + 2y - 7= 0 multiple by2

6x +4y-14

4x + y. -6= 0multiple by4

16 x+4y-24

10x=10

x=1

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Answer 2

${\red{\underline{\underline{\bold{Given:-}}}}}$

• 3x +2y -7 = 0 ---------(1)
• 4x+y-6 = 0 ----------(2)

${\blue{\underline{\underline{\bold{To\:Find:-}}}}}$

• Value of x & y by, elimination method .

${\green{\underline{\underline{\bold{Solution:-}}}}}$

• 3x +2y = 7 ---------(1)
• 4x+y = 6 ----------(2)

Elimination Method:-

Multiply the equation (2) with 2

3x + 2y =7

2(4x +y ) = 2(6)

We get,

• 3x + 2y = 7 --------(3)
• 8x + 2y = 12 --------(4)

Subtract equation (1) and (2). Eliminate y

We get,

==> 8x - 3x = 12-7

==> 5x = 5

==> x= 5/5

==> x = 1

Keep Value of y in equ(1)

==> 3×1 + 2y = 7

==> 2y = 7-3

==> 2y = 4

==> y = 4/2

==> y = 2

Hence,

Value of x = 1

Value of y = 3

________________

${\pink{\underline{\underline{\bold{Answer\: Verification:-}}}}}$

Case(1).

Keep value of x & y in equ(1)

==>3×1 + 2×2 = 7

==> 3 + 4 = 7

==> 7 = 7

L.H.S. = R.H.S.

______________________

Case(2).

Keep value of x & y in equ(2)

==> 4×1 + 2 = 6

==> 4 + 2 = 6

==> 6 = 6

L.H.S. = R.H.S.

$\mathbf\orange{Hence\:Proved}$