Question

solve it...................​

Answer 1

Step-by-step explanation:

Let 3x+y =u

3x-y =v

1/u +1/v =3/4 (1) by multiplying 2 in equation (1)

1/2u- 1/2v=-1/8 (2)

1/2u + 1/2v =3/8 (1) by adding equation equation (1) and (2)

1/2u+1/2u = 2/8

2/2u = 1/4

1/u =1/4

u=4

by substituting u value in (1)

1/u +1/v =3/8

1/v+1/4 =3/4

1/v= 3/4-1/4=2/4=1/2

v=2 again solving the value of v and u

3x+y=4(3)

3x-y=2(4) by adding (3) and (4)

6x=6

x=1

by substitution x=1 in equation (3)

y=1

Answer

X= 1 and Y =1

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Answer 2

Answer:

$<p style="color:cyan;font-family:cursive;background:black;font size:40px;"> </p><p></p><p></p><p>Let 1/3x + y = a , and 1/3x - y = b ,</p><p></p><p>a + b = 3/4       -----------------> (1)</p><p></p><p>4a + 4b = 3                   -------------> (1)</p><p></p><p>also ,</p><p></p><p></p><p></p><p>a/2 - b/2 = -1/8</p><p></p><p>(a - b)/2 = -1/8</p><p></p><p>a - b = -1/4</p><p></p><p>4a - 4b = -1                   ---------------------------> (2)</p><p></p><p>Adding equations (1) and (2) :-</p><p></p><p>4a + 4b = 3</p><p></p><p>4a - 4b = -1</p><p>--------------------</p><p></p><p>8a = 2</p><p></p><p>a = 2/8</p><p></p><p>a = 1/4</p><p></p><p>4a - 4b = -1</p><p></p><p>4*1/4 - 4b = -1</p><p></p><p>1 - 4b = -1</p><p></p><p>4b = 1 + 1</p><p></p><p>4b = 2</p><p></p><p>b = 2/4</p><p></p><p>b = 1/2</p><p></p><p>1/3x + y = a </p><p></p><p>1/3x + y = 1/4</p><p></p><p>3x + y = 4         -----------------> (3)</p><p></p><p>1/3x - y = b</p><p></p><p>1/3x - y = 1/2</p><p></p><p>3x - y = 2                 -----------------> (2)</p><p></p><p>Adding equations (3) and (4) :-</p><p></p><p>3x + y = 4</p><p>3x - y = 2</p><p>--------------------------</p><p></p><p>6x = 6</p><p></p><p>x = 1</p><p></p><p>3x + y = 4</p><p>3*1 + y = 4</p><p></p><p>y = 4 - 3 = 1</p><p></p><p>Hence,</p><p></p><p>x = 1 , y = 1 </p>$

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