Question

1) Solve the simultaneous equations.5x + 4y= 17,4x +5y =10​

Answer 1

Answer:

x= 2

y = - 5

Step-by-step explanation:

5x + 4y= 17 -------- Equation 1

4x +5y =10 -------- Equation 2

By ASA method

Subtracting Equation 2 from Equation 1

5x + 4y= 17

(-)4x +5y =10

__________

x - y = 7 --------- Equation 3

Adding Equation 1 and Equation 2

5x + 4y= 17

(+)4x +5y =10

_____________

9x+9y=27

[Divide throughout by 9]

x - y = 3 --------- Equation 4

Subtracting Equation 4 from Equation 3

x - y = 7

(-)x - y = 3

__________

- 2y=10

- y=10/2

y= - 5

Substitute y= -5 in Equation 3

x - y = 7

x -( - 5)= 7

x + 5= 7

x= 7 - 5

x= 2

Answer x= 2 , y = - 5 is the solution of the given simultaneous equation.

Answer 2

5x + 4y = 17 _____ 1

4x + 5y = 10 _____ 2

समी 1 + समी 2

5x + 4y = 17

4x + 5y = 10

------------------

9x + 9y = 27

या समीकरणाला 9 ने भागू

x + y = 3 _____ 3

समी 1 - समी 2

5x + 4y = 17

4x + 5y = 10

------------------

x + y = 7 _____ 4

समी 3 + समी 4

x + y = 3

x + y = 7

-------------

2x = 10

x = 10 ÷ 2

x = 5

× = 5 ही किंमत समी 4 मध्ये ठेवून

x + y = 7

5 + y = 7

y = 7 - 5

y = 2

(x,y) (5,2)