Answer:
x = 4y/5 + 9/5
y = 5x/4 - 9/4
Explanation:
5x - 4y = 9 ==> solve for x
5x = 4y + 9 ==> add 4y on both sides to isolate x
x = (4y + 9) / 5 ==> divide both sides by 5 to isolate x
x = 4y/5 + 9/5 ==> distribution property
5x - 4y = 9 ==> solve for y
5x = 4y + 9 ==> add 4y on both sides to make y positive
5x - 9 = 4y ==> subtract 9 on both sides to isolate y
y = (5x - 9) / 4 ==> divide both sides by 4 to isolate y
y = 5x/4 - 9/4 ==> distribution property