Question

Write 13x -12y = 25 as y= mx + c. Hence find m and c. Verify if x = 1, y = 1
is a solution.

Answer 1

Question :-

• Write 13x -12y = 25 as y= mx + c. Hence find m and c. Verify if x = 1, y = 1 is a solution.

Answer

Given :-

• A linear equation 13x - 12y = 25

To Find :-

• Represent in the form y = mx + c to find m and c
• Verify x = 1 and y = 1 is a solution of 13x - 12y = 25 or not.

Solution :

Consider 13x - 12y = 25

$\bf\implies \:12y = 13x - 25$

Divide by 25 both sides, we get

$\bf\implies \:y = \dfrac{13}{12} x - \dfrac{25}{12}$

So, on comparing with y = mx + c, we get

$\bf\implies \:m = \dfrac{13}{12} \: and \: c \: = - \dfrac{25}{12}$

● Now, we have to Verify whether x = 1 and y = 1 is a solution of 13x - 12y = 25 or not.

So, put x = 1 and y = 1 in LHS, we get

13 × 1 - 12 × 1

= 13 - 12

= 1 which is not equals to RHS.

Therefore, x = 1 and y = 1 is not a solution of 13x - 12y = 25.

Answer 2

Step-by-step explanation:

hope this helps you mate