Question

If the point (4, 5) lies on the graph of 5y = ax + 9, then find the value of a.
tell plz

Answer 1

Answer:

a = 4

Explanation:

Given equation,

→ 5y = ax + 9

or,

→ ax - 5y = -9

Which satisfies the point (4, 5)

Then,

• x = 4
• y = 5

Substituting the coordinates,

→ ax - 5y = -9

→ a(4) - 5(5) = -9

→ 4a - 25 = - 9

→ 4a = 25 - 9

→ 4a = 16

→ a = 16/4

→ a = 6

∴ The value of a is 4

Answer 2

$\sf\huge\bold{Answer:}$

Given :

point (4,5) lying on equation 5y = ax + 9

To find :

Value of a

Solution :

Since,it is given that the point (4,5) lies on graph of 5y = ax + 9

⇒This illustrates that point (4,5) with coordinates x = 4 and y = 5 satisfies equation 5y = ax + 9.

Step 1 Conveting equation into general form ax+by+c=0

$⇒ax-5y+9=0$

Step 2 Inserting values of x and y coordinates into the equation ( x = 4 , y = 5 )

$⇒a(4) - 5(5) + 9 = 0$

Step 3 Simplifying equation by solving brackets

$⇒4a - 25 + 9 = 0 \\ ⇒4a - 16 = 0 \\ ⇒4a = 16 \\ ⇒a = \frac{16}{4} \\ ⇒a = 4$

So,If the point (4, 5) lies on the graph of 5y = ax + 9, then the value of a=4.