5y + 7 < = -3
5y < = -3 - 7
5y < = -10
y < = -10/5
y < = -2
3y - 2 > = 13
3y > = 13 + 2
3y > = 15
y > = 15/3
y > = 5
Answer: -7
Step-by-step explanation:
-30 = 5(x + 1)
-30 = 5x + 5. ( After distrbuting the 5)
-5. -5
-30 - 5. = 5x
-35 = 5x
x = -7
Let x be the yearly salary of an architect. Then the yearly salary of a lawyer is 2x-20000.
We can build an equation now! x+(2x-20000)=211000, because the yearly salary of an architect plus the yearly salary of a lawyer is 211000.
We combine like terms to get 3x-20000=211000.
We add 20000 to both sides to get 3x=231000.
We divide both sides by 3 to get x=77000, so the average yearly salary of a lawyer is 77000.
Then, the average yearly salary of an architect is 2(77000)-20000=154000-20000=134000, so the average yearly salary of an architect is 134000.
Answer:
73
Step-by-step explanation:
Original number: XY
x = 3y - 2
10y + x = (10x + y) / 2 + 1/2
substitution: 10y + 3y - 2 = 13y - 2 = (10 * (3y - 2) + y) / 2 + 1/2
* 2 both sides and simplify: 26y - 4 = 31y - 19
31y - 26y = -4 + 19
5y = 15
y = 3
x = 7
Original number: 73
