Question

Rewrite the equation 2x + y = 5/9x + 2 into standard form (ax + by = c).

( 5/9 is 5 over 9)

A. 13x + 9y = 18
B. 13x + 9y = 2
C. 9x + 13y = 2
D. 9x + 13y = 18

Answer 1

2x + y = 5/9 x + 2

Multiply both sides by 9

18x + 9y = 5x + 18

18x - 5x + 9y = 18

13x + 9y = 18

Answer

A. 13x + 9y = 18

Answer 2

A. 13x + 9y = 18

Explanation:

Here, the given equation is,

`2x + y = (5)/(9)x+2`

`2x+y=(5x+18)/(9)`

By cross multiplication,

`18x + 9y = 5x + 18`

Subtract 5x on both sides,

`13x+9y = 18`

Which is the required standard form of the given equation,

Option 'A' is correct.