100w + 10000 = 400w + 7000
Subtract 7000 and 100w from both sides.
3000 = 300w
Solve for w.
Insert w value in your equations above.
m= 100w + 10000
m= 400w + 7000
Subtract 7000 and 100w from both sides.
3000 = 300w
Solve for w.
Insert w value in your equations above.
So, we have:
100w + 10000 = 400w + 7000
To solve for w, let's simplify the equation:
100w - 400w = 7000 - 10000
-300w = -3000
Now, divide both sides of the equation by -300:
w = (-3000) / (-300)
w = 10
Therefore, it will take 10 weeks for both Vic and Eva's cars to have the same mileage.
To find out the mileage they will have at that time, substitute w = 10 into one of the original equations. Let's use the equation for Vic's car:
m = 100w + 10000
m = 100(10) + 10000
m = 1000 + 10000
m = 11000
Therefore, both Vic and Eva's cars will have 11,000 miles on them after 10 weeks.
100w + 10000 = 400w + 7000
We can start by simplifying the equation and isolating the variable w:
-300w = -3000
Dividing both sides by -300:
w = 10
Therefore, the number of weeks when the number of miles on both cars is the same is 10 weeks.
To find the number of miles on each car after 10 weeks, we can substitute the value of w back into either equation:
m = 100w + 10000
m = 100(10) + 10000
m = 1000 + 10000
m = 11000
Therefore, both cars will have 11000 miles on them after 10 weeks.