Question

find the solutions of the form x= a, y = 0 and x= 0 , y =b for the following equation

2x + 5y = 10 and 2x + 3y = 6​

Answer 1

Answer:

HEY MATE ,

Given Question :

find the solutions of the form x= a, y = 0 and x= 0 , y =b for the following equation

2x + 5y = 10 and 2x + 3y = 6​

Step-by-step explanation:

Solution : Substituting x = 0 in the equation 2x + 5 y = 10 ,

→  we get = 2 ×  0 + 5 y = 10

→              =               5 y =  10

→              =                  y =   2

→  Thus , x = 0

               y = 2  

→  Is a solution of 2x + 5y = 10

→  substituting y = 0 in 2 x+ 5y = 10 , we get

→   2 x + 5 × 0 = 10⇒2x = 10 ⇒ x = 5

→  Thus , x = 5 and y = 0  is a solution of 2 x + 5y = 10.

→ Thus , x = 5 , y = 0 , and x = 0 ,y = 2 are two solutions of 2x + 5y = 10.

→ Now ,consider the equation 2x + 3y = 6

→ Substituting x = 0 , in this equation ,we get

→ 2 × 0 + 3 y = 6 ⇒ 3y = 6 ⇒ y = 2

→ so , x = 0 ,y = 2 is a solution of 2 x + 3y = 6

→ substituting y = 0 in 2x + 3y = 6 ,we get

→ 2x + 3 × 0 = 6 ⇒ 2x = 6⇒x = 3

→ Thus , x = 0 , y = 2 and x = 3 , y = 0 are solutions of 2x + 3y = 6

→ clearly ,x = 0 , y = 2 is common solution of the given equations.

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Answer 2

Step-by-step explanation:

Here Is the answer ...!!!