Question

2x/9 +x/3 = 13/6, solve for x

Answer 1

`\bold{\red{\boxed{\blue{ x = 3.9}}}}`

Explanation:

`(2x)/(9) + (x)/(3) = (13)/(6) \\ (2x + 3x)/(9) = (13)/(6) \\ (5x)/(9) = (13)/(6) \\ use \: \: cross \: \: multipication \\ 5x * 6 = 9 * 13 \\ 30x =11 7 \\ (30x)/(30) = (117)/(30) \\ x = 3.9`

Answer 2

x = 3 9/10

Explanation:

2x/9 +x/3 = 13/6

Get a common denominator on the left side

2x/9 + x/3 *3/3 = 13/6

2x/9 + 3x/9 = 13/6

5x/9 = 13/6

Multiply each side by 9/5 to isolate x

5x/9 *9/5 = 13/6 * 9/5

x = 117/30

Divide the top and bottom by 3

x = 39/10

x = 3 9/10