Question

find five different solutions for 3y=4x​

Answer 1

Answer:

Assalamu walkekum!!

Here is the solution

3y = 4x

:- y = 4x/3----equation 1

simply put the values of.. x in equation 1

u will get all the solutions...

here is the attachment..

Sorry for bad handwriting :(

Answer 2

The Five different solutions are (0, 0), (1, $\frac{4}{3}$), (2, $\frac{8}{3}$), (3, 4), (4, $\frac{16}{3}$).

Given,

3y = 4x

To Find,

Five different solutions for the given equation

Solution,

3y = 4x

Dividing by 3 throughout

y = $(\frac{4}{3})$x

For finding different solutions, we can put different values of x in the equation and then calculate the value of y

(i) Let 'x' = 0

y = $(\frac{4}{3})$x

y = $(\frac{4}{3})$*0

y = 0

Solution → (0, 0)

(ii) Let 'x' = 1

y = $(\frac{4}{3})$x

y = $(\frac{4}{3})$*1

y =  $\frac{4}{3}$

Solution → (1, $\frac{4}{3}$)

(iii) Let 'x' = 2

y = $(\frac{4}{3})$x

y = $(\frac{4}{3})$*2

y =  $\frac{8}{3}$

Solution → (2, $\frac{8}{3}$)

(iv) Let 'x' = 3

y = $(\frac{4}{3})$x

y = $(\frac{4}{3})$*3

y =  4

Solution → (3, 4)

(v) Let 'x' = 4

y = $(\frac{4}{3})$x

y = $(\frac{4}{3})$*4

y =  $\frac{16}{3}$

Solution → (4, $\frac{16}{3}$)

Thus, the solutions are (0, 0), (1, $\frac{4}{3}$), (2, $\frac{8}{3}$), (3, 4), (4, $\frac{16}{3}$).

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