(2x + 3y = 12) x (-2)
(4x - 3y = 6) x 1
-4x - 6y = -24
4x - 3y = 6
You can cancel out the x values by adding the two equations together.
(-4x + 4x) + (-6y - 3y) = (-24 + 6)
-9y = -18
y = 2
Solve for x now...
4x - 3(2) = 6
4x - 6 = 6
4x = 12
x = 3
Check... (x = 3, y = 2)
2(3) + 3(2) = 12
6 + 6 = 12
12 = 12 <- this works!
4(3) - 3(2) = 6
12 - 6 = 6
6 = 6 <- this works!
Answer:
4/3
Step-by-step explanation:
Sounds as though this problem presented several rates of change, but you have shared only one: 3y - 4x = 3. If we take x to be the independent variable, then 3y = 4x + 3, and y = (4/3)x + 1. The rate of change of this function (the rate of change of y with respect to x) is therefore 4/3.
Answer:
15mins
Step-by-step explanation:
Given that he worked out a total of 360mins, and jogged 45mins/day:
Therefore, Allen jogged a total of 90mins in the past one week. To calculate the time jogged each day, we divide the total jog time by number of days jogged:
Allen jogged 15mins per day.
