Question

if x+4y-10=0, then the value of 'a' for which line x=2 and y=3 is

Answer 1

Answer:

There is no place for the variable 'a' in the equation

Answer 2

If ax + 4y - 10 = 0, then the value of a = - 1 for which line has solution x = 2 and y = 3

Given : ( Correction in the question )

• ax + 4y - 10 = 0
• The equation has solution x = 2 and y = 3

To find : The value of a

Solution :

Step 1 of 2 :

Write down the given equation

The given equation is ax + 4y - 10 = 0

Step 2 of 2 :

Use the solution set

The equation has solution x = 2 and y = 3

Putting x = 2 and y = 3 we get

$\displaystyle \sf{ \implies (a \times 2) + (4 \times 3) - 10 = 0}$

$\displaystyle \sf{ \implies 2a + 12 - 10 = 0}$

$\displaystyle \sf{ \implies 2a + 2 = 0}$

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

$\displaystyle \sf{ \implies a = - 1 }$

Hence the required value of a = - 1

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