Question

if the point (-1,1) lies on the graph of the equation 3y=(a-1)x+7, then calculate the alue of a​

Answer 1

Given:

Point (-1,1) lies on the graph of the equation 3y=(a-1)x+7

To Find:

Value of a

Solution:

As given in the question point lies on the graph of the equation.

Therefore it must satisfy the given equation.

Hence putting the values of x and y in the equation, we get :-

3y = (a - 1)x + 7

3(1) = (a - 1)(-1) + 7

3 = -a + 1 + 7

a = 8 - 3

a = 5

Hence, required value of a is 5.

Answer 2

♣ Qᴜᴇꜱᴛɪᴏɴ :

• If the point (-1,1) lies on the graph of the equation 3y = (a - 1) x+7, then calculate the value of a

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♣ ᴀɴꜱᴡᴇʀ :

a = + 5

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♣ ᴄᴀʟᴄᴜʟᴀᴛɪᴏɴꜱ :

3y = (a - 1) x+7

Putting x = -1, y = 1

3y = (a - 1) x +7

⇒ 3(1) = (a - 1) (-1) + 7

⇒ 3 = -a + 1 + 7

Subtracting 7 from both sides

⇒ 3 - 7 = -a + 1 + 7 - 7

⇒ -4 =  -a + 1

Subtracting 1 from both sides

⇒ -4 - 1 =  -a + 1 - 1

⇒ -5 =  -a

a = + 5