First use distributive property on -3(t+5), which would be -3t minus -15.
Then, add all like terms: -3t-15+4t+2 ---> -3t+4t+2-15 --> t-13.
t-13=8, add 13 to both sides. This cancels the -13 and makes 8 to 21.
Therefore, t=21
Multiply2 * x/15 to 2x/15
multiply both sides by 30 which is the LCM of 10, 5, 3, and 15
expand it
simplify 18 - 15x - 12x - 6 + 10x to 12 - 17x
add 17x to both sides
add 4x + 17x to = 21x
divide both sides by 21
simplify 12/21 to 4/7
now simplify
Answer: x = 4/7.
If we place what the husband earns as h and what the wife earns as w, we can begin...
w + h = 110000
but w = 2h - 16000
We can turn it into..
2h - 16000 + h = 110000
Which we can then combine into..
3h - 16000 = 110000
Add 16000 and..
3h = 126000
Divide by three...
h = 42000
(nice)
The husband earns 42,000$ a year
Bonus: The wife then earns 68,000$
42,000 (or h) + 68,000 (or w) = 110,000
Because this is the original equation, we are correct.
