You visited us 1 times! Enjoying our articles? Unlock Full Access!

Linear Functions

If f2x+3y, 2x...

Question

If $f (2 x + 3 y, 2 x - 7 y) = 20 x$ , then $f (x, y)$ equals

7x-3y

No worries! We‘ve got your back. Try BYJU‘S free classes today!

7x+3y

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

3x-7y

No worries! We‘ve got your back. Try BYJU‘S free classes today!

x-4y

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B 7x+3y
$Let 2 x + 3 y = m and 2 x - 7 y = n . then, m - n = 10 y \Rightarrow y = \frac{m - n}{10} Putting this value of y in 2 x + 3 y = m, we get x = \frac{7 m + 3 n}{20} \Rightarrow 7 m + 3 n = 20 x or, f (m, n) = 7 m + 3 n or, f (x, y) = 7 x + 3 y$

Suggest Corrections

Similar questions

f (2 x + 3 y, 2 x - 7 y) = 20 x

f (x, y)

f (2 x + 3 y, 2 x - 7 y) = 20 x

f (x, y)

f (x) = sin (log x)

y = f (\frac{2 x + 3}{3 - 2 x}),

\frac{d y}{d x}

f (x) = 2 x + 1

f (2 x - 3) = ?

f (x) = a^{x} (a > 0)

f (x) = f_{1} (x) + f_{2} (x)

f_{1} (x)

f_{2} (x)

f_{1} (x + y) + f_{1} (x - y)

Join BYJU'S Learning Program