Answer: $75
Step-by-step explanation: First he bought tires for 45.00 dollars - later sold it as 65.0 dollars.
=> 65 - 45 = 20 dollars is his profit
he brought 3 rims for 85 dollar - then later sold it as 126 dollars
=> 126 - 85 = 41 dollars
He bought headlight for 5.00 dollars then sold it later for 15 dollars.
=> 15 - 5 = 10 dollars
Total expenses
=> 134
Total amount sold
=> 209
Profit => 209 - 134 = 75 dollars
so.. the left-hand-side does indeed simplify to x+7, so the equation does check out.
however, notice something, for the equation of x+7, when x = 6, we get (6) + 7 which is 13.
BUT for the rational, we get
so, even though the siimplification is correct, the rational or original expression is constrained in its domain.
Answer is: a= -4
STEP
1
:
1
Simplify —————
a + 3
Equation at the end of step
1
:
a 3 1
(————————+—————)-——— = 0
((a2)-9) (a-3) a+3
STEP
2
:
3
Simplify —————
a - 3
Equation at the end of step
2
:
a 3 1
(————————+———)-——— = 0
((a2)-9) a-3 a+3
STEP
3
:
a
Simplify ——————
a2 - 9
Equation at the end of step
3
:
a 3 1
(————————————————— + —————) - ————— = 0
(a + 3) • (a - 3) a - 3 a + 3
Equation at the end of step
4
:
(4a + 9) 1
————————————————— - ————— = 0
(a + 3) • (a - 3) a + 3
Pull out like factors :
3a + 12 = 3 • (a + 4)
Equation at the end of step
6
:
3 • (a + 4)
————————————————— = 0
(a + 3) • (a - 3)
3•(a+4)
——————————— • (a+3)•(a-3) = 0 • (a+3)•(a-3)
(a+3)•(a-3)
a+4 = 0
Subtract 4 from both sides of the equation :
a = -4
