Question

A: If x= 5 and y = 3, then it is a solution of 3x + 5y = 30.

R: If (a, b) is a solution of ax + by + c = 0, then 2a + 3b + c = 0.​

Answer 1

Question 1.

To check whether x = 5 and y = 3 is a solution of the equation 3x + 5y = 30:

We put x = 5 and y = 3 in the left hand side of the given equation and find if its value equals to the right hand side.

• 3x + 5y
• = 3 (5) + 5 (3), when x = 5, y = 3
• = 15 + 15
• = 30

Here we see that the values x = 5, y = 3 satisfy the given equation.

Conclusion: x = 5, y = 3 is a solution of 3x + 5y = 30.

Question 2.

To check if (a, b) is a solution of ax + by + c = 0, then 2a + 3b + c = 0:

Since x = a, y = b is a solution of ax + by + c = 0, then it satisfies the equation,

• ax + by + c = 0
• → a (a) + b (b) + c = 0
• → a² + b² + c = 0

Here we have not reached the given relation.

Conclusion: The given relation 2a + 3b + c = 0 is incorrect.

Answer 2

Answer:

Step-by-step explanation:

if x<5 and y<3 then explain (x-5)(y-3)>0