Answer:
The solution to the system is S= (-2, -4).
Step-by-step explanation:
Given the system
−4x+5y=−12
x−6y=22
The first step is to solve x from the first equation for example, and substitute the expression in the second equation.
1) -4x + 5 y = -12 ⇒ -4x = -12 - 5y ⇒ x = (-12 - 5y)/-4 ⇒ x = 3 + (5/4)y
2) x - 6y = 22 ⇒ (3 + (5/4)y) - 6y = 22 ⇒ 3 + (5/4)y - 6y = 22
⇒ 3 - (19/4)y = 22 ⇒ (-19/4)y = 22- 3 ⇒ y = 19/(-19/4) ⇒ y =-4.
Finally, with the value obtained for "y", you have to return to the original equations and replace it to obtain the "x" value.
-4x + 5y = -12 ⇒ -4x + 5(-4) = -12 ⇒ -4x - 20 = -12 ⇒ -4x = -12 + 20
⇒ -4x = 8 ⇒ x = 8/-4 ⇒ x = -2.
Summarizing, the solution to this system is S = (-2, -4).
Answer:
1, 120
Step-by-step explanation:
3.2 x 107 = 342.4
+ 7.2 x 108 = 777.6
_____________________
1, 120
Answer:
20 TV need to be sold to qualify for the trip.
Step-by-step explanation:
Given: Sale price of each TV is $250
Sales target to qualify for trip is $5000.
As given, T represent TV sold.
Now, finding the number of TV sold to qualify for the trip.
Forming an inequality for the number of TV sold to qualify for trip.
We know, Total amount of TV sold= 
∴ To qualify for trip: 
solving it by dividing both side by 250
∴
Hence, Angelica need to sell minimum 20 TV to qualify for the trip.
