Question

What is the value of A in the following system of equations?
2A + 3W = 12
6A - 5W = 8

Answer 1

Step-by-step explanation:

1 equation becomes 10 A+15W =60

2 equ becomes 18A - 15W =24

___________

28A = 84

A = 3

1 step = 1 equation× 5

2 step = 2equation × 3

Ans A = 3

Answer 2

$\sf{\huge{\underline{\red{Given :-}}}}$

• The system of equations :-

2A + 3W = 12

6A - 5W = 8

$\sf{\huge{\underline{\pink{To\:Find :-}}}}$

• The value of A in the following .

$\sf{\huge{\underline{\orange{Answer :-}}}}$

According to the question.

We have, The system of equations :-

2A + 3W = 12

6A - 5W = 8

Using elimination method,

2A + 3W = 12 ------(1) × 3

6A - 5W = 8 ------(2)

So , we get

6A + 9W = 36 ------(3)

6A - 5W = 8 ------(2)

- + -

_______________

14W = 28

________________

➝ W = 28 / 14

➝ W = 2

Putting in second equation,

➝ 6A - 5 × 2 = 8 ------(2)

➝ 6A - 10 = 8

➝ 6A = 8 + 10

➝ 6A = 18

➝ A = 18/6

➝ A = 3

The value of A in the following is 3.