Question

If x=7 and y=5 is the solution of 3x+ay=31. then the value of 'a' is ...... *

Answer 1

Step-by-step explanation:

if x=7,y=5 put value in equation

3(7)+a(5)=31

=21+5a=31

=5a=31-21

=5a=10

=a =2

Answer 2

The value of a = 2

Given :

x = 7 and y = 5 is the solution of 3x + ay = 31

To find :

The value of a

Solution :

Step 1 of 2 :

Write down the given equation

Here the given equation is

3x + ay = 31

Step 2 of 2 :

Find the value of a

Here it is given that x = 7 and y = 5 is the solution of 3x + ay = 31

This gives

$\displaystyle \sf{(3 \times 7) + (a \times 5) = 31 }$

$\displaystyle \sf{ \implies 21 + 5a = 31}$

$\displaystyle \sf{ \implies 5a = 31 - 21}$

$\displaystyle \sf{ \implies 5a = 10}$

$\displaystyle \sf{ \implies a = \frac{10}{5} }$

$\displaystyle \sf{ \implies a = 2 }$

Hence the required value of a = 2

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