Question

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ɪғ x=ᴀ, ʏ=ʙ ɪs ᴛʜᴇ sᴏʟᴜᴛɪᴏɴ ᴏғ ᴛʜᴇ ᴇϙᴜᴀᴛɪᴏɴs x+ʏ=5 ᴀɴᴅ 2x-3ʏ=4, ᴛʜᴇɴ ᴛʜᴇ ᴠᴀʟᴜᴇ ᴏғ ᴀ ᴀɴᴅ ʙ ᴀʀᴇ ʀᴇsᴘᴇᴄᴛɪᴠᴇʟʏ. ​

Answer 1

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Given:

x = a and y = b is the solution of the equations

To Find:

• Value of a & b

Then,

• a + b = 5 ... (1)
• 2a - 3b = 4 ... (2)
• (1) × (3) + (2) ⟹

• 3a + 3b = 15
• 2a - 3b = 4

• ⟹ 5a = 19
• a = 19/5

Put a = 19/5 in (1), we get:

• $\frac{19}{5} + b = 5$

• ⟹$b = 5 - \frac{19}{5}$

• ⟹ $b = \frac{25 - 19}{5}$

$\boxed{\bf{b = \frac{6}{5}}}$

The Value of a = 19/5

And Value of b= 6/5

Answer 2

Step-by-step explanation:

5 ... (1)

2a - 3b = 4 ... (2)

(1) x (3) + (2) =

3a + 3b = 15

• 2a - 3b = 4

5a = 19 =

• a = 19/5

Put a = 19/5 in (1), we get:

19 5 +b = 5

=b=5 - 19 5

b = 25-19 5

6

5

b =

The Value of a = 19/5

And Value of b= 6/5