Question

3x + 4y = 14 , 2x + 5y = 16 find the value of x-y​

Answer 1

Answer:

Step-by-step explanation:

3x + 4y = 14   ...... (i)

2x +5y = 16 .........(ii)

by using substitution method

3x = 14 - 4y

so , x = 14 -4y /3

putting value of x in eq (ii)

2(14 - 4y / 3 ) + 5y = 16

so y =2

and x = 2 so x - y = 0

Answer 2

✪ $\huge{\red{\underline{\overline{\mathbf{Question}}}}}$ ✪

→3x + 4y = 14 , 2x + 5y = 16 find the value of x-y

✪ $\huge{\green{\underline{\overline{\mathbf{Answer}}}}}$ ✪

⇒Given:

• 3x + 4y = 14 .........(1)
• 2x + 5y = 16 .........(2)

⇒To Find:

• value of x - y

⇒Solution:-

⇒Multiplying (1) with 2 & (2) with 3 we get

⇒6x+8y=28 & 6x+10y=32

Now subtracting new (1) with (2)-

${\cancel{6x}}+10y=32$

${\cancel{-6x}}-8y=-28$

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

$2y=4$

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⇒$y=\frac{4}{2}$

⇒$y=2$

Using this Value of y in (1)

⇒$3x+4\times 2=14$

⇒$3x=6$

⇒$x=2$

Value of x - y

⇒$\huge{\pink{\overbrace{\underbrace{x-y=0}}}}$

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