Question

Find the value of x and y

❖ᴏɴʟʏ ᴘʀᴏᴘᴇʀ ꜱᴏʟᴠᴇᴅ ᴀɴꜱᴡᴇʀ ᴡɪᴛʜ ɢᴏᴏᴅ ᴇxᴘʟᴀɴᴀɪᴏɴ ɴᴇᴇᴅᴇᴅ
❖ ɴᴏ ꜱᴘᴀᴍᴍɪɴɢ
❖ᴏɴʟʏ ꜰᴏʀ ᴍᴏᴅᴇʀᴀᴛᴏʀꜱ, ʙʀᴀɪɴʟʏ ꜱᴛᴀʀꜱ ᴀɴᴅ ᴏᴛʜᴇʀ ʙᴇꜱᴛ ᴜꜱᴇʀꜱ​​​​​​​​​​​​​​​​​​​​

Answer 1

Given that,

Two matrices are equal. But the value of 'x' and 'y' are unknown.

→ We have to find those unknown value.

Solution :

We know that,

If two matrices are equal then,

" Corresponding elements within each matrix are equal. "

Now,

$\left( \begin{array}{cc} \rm \: x - 2&&3 \\ - 2&& \rm \: 3y\end{array}\right) = \left( \begin{array}{cc} \rm \: 1&&3 \\ - 2&&15\end{array}\right)$

On comparing each corresponding elements,

we get,

$\boxed{ \begin{array}{cc} \rm \: x - 2 = 1 \\ \\ \rm \: \implies \: x = 1 + 2 \\ \\ \therefore \: \rm \: x = 3 \end{array}}$

And,

$\boxed{\begin{array}{cc} \rm \: 3y = 15 \\ \\ \rm \: \implies \: y = \frac{15}{3} \\ \\ \therefore \: \rm \: y =5 \end{array}}$

So,

$\: \: \: \: \pink{ \boxed{ \orange{ \rm \: x = 3 \: \: \: and \: \: \: y = 5}}}$