Solve for x. show your work 6/9 = x+2/24

Simplify 6/9 to 2/3

2/3 = x + 2/24

Simplify 2/24 to 1/12

2/3 = x + 1/12

Subtract 1/12 from both sides

2/3 - 1/12 = x

Simplify 2/3 - 1/12 to 7/12

7/12 = x

Switch sides

x = 7/12

step-by-step explanation:

look at the picture.

the formula of an area of a right triangle:

a, b - legs

we have one leg a = 6, and the area a = 9.

substitute to the formula:

          divide both sides by 3

therefore we have ac = 3.

the coordinates of the point a (intersection of the line) are (-3, 2).

point c lie on the line x = -3. therefore c(-3, y).

ac = 3 → y = 2 + 3 or y = 2 - 3

y = 5 or y = -1