Question

$3x - y = 7 \: \: \: \: \: . \: \: \: x + 4y = 11$
solve please correct
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Answer 1

Answer:

$\huge\mathtt\purple{x = 3 ; y = 2}$

Explanation:

3x - y = 7 - (i)

x + 4y = 11 - (ii)

Firstly taken (i)

3x - y = 7

3x = 7+y

$x = \frac{7 + y}{3} \: \: \: \: \: - (iii)$

Put value of x (iii) in (ii)

x + 4y = 11

$\frac{7 + y}{3} + 4y = 11$( Take LCM )

$\frac{7 + y + 12y}{3} = 11$

$\frac{7 + 13y}{3} = 11$

$7 + 13y = 11 \times 3$

$7 + 13y = 33$

$13y = 33 - 7 = 26$

$13y = 26$

$y = \frac{26}{13}$

$y = 2$

Now, put the value of y in (iii)

$x = \frac{7 + y}{3}$

$x = \frac{7 + 2}{3}$

$x = \frac{9}{3}$

$x = 3$

$\large\mathbb\red{x = 3 ; y = 2}$

$\huge\mathcal\pink{Hope \: it \: helps \: you!}$

Answer 2

Answer:

$correct \: answer$

3x−7=7....(1)

x+4y=11....(2)

Multiply (1) by 4

12x−4y=28....(3)

x+4y=11....(2)

Add (3) and (2)

13x=39

x=3

a−y=7

y=2

Explanation:

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