21-(-55)
=76
=+$76
..........
{y+7=3x
6x−2y=12
(14, 12)
(12, 14)
There is no solution.
There are an infinite number of solutions.
=============================
Work Shown:
y+7 = 3x turns into y = 3x-7 after we subtract 7 from both sides
Plug that into the other equation and solve for x
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6x - 2y = 12
6x - 2( y ) = 12
6x - 2( 3x-7 ) = 12 ... y replaced with 3x-7
6x - 2(3x) - 2(-7) = 12
6x - 6x + 14 = 12
0x + 14 = 12
0 + 14 = 12
14 = 12 ... this is a contradiction, aka false statement
------
No matter what x value we pick, the equation above will always be false.
Therefore, there are no solutions
We say that this system of equations is inconsistent.
Graphing both equations leads to two parallel lines. A solution only happens if the lines cross, but parallel lines never intersect.
Answer:
Erik and Mike will meet at 1:24 PM
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Distance between Erik and Mike = 308 miles
Speed that Erik drove = 70 mph
Time Erik left = 10 AM
Speed that Mike drove = 50 mph
Time Mike left = 12 PM
2. At what time will they meet?
For answering the question, let's find how much miles Erik drove at 12 PM, when Mike started to drive towards Erik:
Miles driven by Erik after two hours = Speed * Time
Miles driven by Erik after two hours = 70 * 2
Miles driven by Erik after two hours = 140
Now we can calculate the distance between Erik and Mike at 12 PM, this way:
308 - 140 = 168
At 12 PM the distance between Erik and Mike is 168 miles
t = time it takes Erik and Mike to meet
The equation to solve for t is:
Distance Erik will travel = 70t
Distance Mike will travel = 50t
70t + 50t = 168
120t = 168
t = 168/120
t = 1.4 hours
1.4 hours = 1 hour + 4/10 * 60 minutes = 1 hour + 24 minutes
Time of the day Erik and Mike will meet = 12 PM + 1 hour and 24 minutes
Time of the day Erik and Mike will meet = 1:24 PM
Answer:
1:24 pm
Step-by-step explanation: