Question

Step by step explanation

Answer 1

`\huge\boxed{\tt{x = 11 , y = 1}}`

Explanation:

x + y = 12 -------------------------(1)

2x + 5y = 27 --------------------(2)

Multiply (1) by 2

2(x+y) = 12 * 2

2x + 2y = 24 --------------------(3)

Subtract (3) from (2)

2x + 5y - ( 2x + 2y ) = 27 - 24

2x + 5y - 2x - 2y = 3

5y - 2y = 3

3y = 3

Divide 3 to both sides

y = 1

Put y = 1 in (1)

x + 1 = 12

x = 12 - 1

x = 11

So,

x = 11 , y = 1

`\rule[225]{225}{2}`

Hope this helped!

~AH1807