Question

find the solution of 3x-2y=20, x+3y=14.​

Answer 1

Answer:

Here's your answer

Step-by-step explanation:

Given: 2x−3y=−14...(1)

3x−2y=−6...(2)

After adding (1) and (2) equations. we get

2x−3y+3x−2y=−14−6

⇒5x−5y=−20⇒x−y=−4...(3)

On subtracting (1) from (2). we get

3x−2y−2x+3y=−6+14

⇒x+y=8...(4)

Now adding (3) and (4). we get

2x=4⇒x=2

By putting x=2 in (3), we get

2−y=−4⇒y=6

∴(2,6) is solution of given equations.

Value of xy=2×6=12.

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Answer 2

Answer:

Given⤵

➡3x-2y= 20 and x+3y = 14.

To find⤵

➡Solution of equation.

Solution⤵

⚫Let the equation

3x-2y=20 ...(i)

x+3y=14 ...(ii)

⚫Multiply by 3 in equation (ii), we get

3x+9y=42 .... (iii)

⚫Subtracting equation (i) from (iii), we get

3x+9y=42

3x-2y=20

- + -

__________

11y=22

y= 22/11

y= 2

⚫Now substituting value y= 2 in equation (i) , we get

➡3x-2×2=20

➡3x-4=20

➡3x=20+4

➡3x=24

➡x=24/3

➡x=8

✅Hence, the solution is x=8 and y= 2 or (8, 2).

Verification⤵

➡3x-2y= 20 and x+3y= 14

⚫Substituting the value of x=8 and y=2, we get

➡3×8-2×2=20 and 8+3×2=14

➡24-4=20 and 8+6=14

➡20=20 and 14=14

LHS=RHS LHS=RHS

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