Question

solve the pair of linear equations using any method x-y=4 and 2x+y=14​

Answer 1

Step-by-step explanation:

Add Equation 1 and 2

X - Y = 4

2X + Y=14

- - -

----------------------------

X. =10

PUT THE VALUE OF X IN EQUATION 1

X+Y=4

Y= -10+4

Y=-6

X=10,Y=-6.

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Answer 2

$\Large{\underline{\underline{\mathfrak{\bf{Question}}}}}$

solve the pair of linear equations using any method x-y=4 and 2x+y=14

$\Large{\underline{\underline{\mathfrak{\bf{Solution}}}}}$

$\Large{\underline{\mathfrak{\bf{\pink{Given}}}}}$

• x - y = 4 .........(1)
• 2x + y = 14 ......(2)

$\Large{\underline{\mathfrak{\bf{\pink{Find}}}}}$

• Value of x and y

$\Large{\underline{\underline{\mathfrak{\bf{Explanation}}}}}$

By using Elimination method

• x - y = 4 .
• 2x + y = 14

____ __________Addition this (eliminate y )

➠ 3x = 18

➠ x = 18/3

➠ x = 6

Keep value of x in equ(1)

➠ 6 - y = 4

➠ y = 6 - 4

➠ y = 2

Thus:-

• Value of x = 6
• Value of y = 2

$\Large{\underline{\mathfrak{\bf{\blue{Answer\:Verification}}}}}$

[ keep value of x and y in equ(1) ]

➠ 6 - 2 = 4

➠ 4 = 4

➠ L.H.S. = R.H.S.

That's proved.