Answer:
y = -3
Step-by-step explanation:
{y = x/2 - 4
y = 1 - 2 x
Substitute y = x/2 - 4 into the second equation:
{y = x/2 - 4
x/2 - 4 = 1 - 2 x
In the second equation, look to solve for x:
{y = x/2 - 4
x/2 - 4 = 1 - 2 x
Add 2 x + 4 to both sides:
{y = x/2 - 4
(5 x)/2 = 5
Multiply both sides by 2/5:
{y = x/2 - 4
x = 2
Substitute x = 2 into the first equation:
{y = -3
x = 2
Collect results in alphabetical order:
Answer:
{x = 2
y = -3
Answer:
The distance of the run is 10 miles
The distance of the bicycle race is 69 miles
Step-by-step explanation:
Let:
- r = the distance for the run
- 79 - r = the distance for the bicycle race
- t = the time of the run
- 5 - t = the time of the bicycle race
The run: r = 5t
The bicycle race: 79 - r = 23(5 - t)
Simplify the bicycle race:
- 79 - r = 115 - 23t
- -r = 36 - 23t
- r = 23t - 36
Now we have two equations set up for r
We know that r = r, so 5t must equal 23t - 36
- 5t = 23t - 36
- 5t + 36 = 23t
- 36 = 18t
- t = 2
Now we know that the run took 2 hours.
Plug it back into the equation for the run to find the distance for the run
The run is 10 miles
To solve for the bicycle race, we simply subtract 10 from 79, because we know that the two distances combined are 79.
The bicycle race is 69 miles.
-Chetan K
Answer:
B) Two times
Step-by-step explanation:
2 x 2 = 4
51+2x+x=180
3x=180-51
3x=129
x=129/3
x=43 degrees
