First set up equation for Raj, which is 10x + .5, .5 is the y-intercept because he got a head start of .5 hours
Ruth, 14x
10x + .5 = 14x
- .5 -.5
10x = 14x - .5
-14x -14x
-4x = -.5
/-4 /-4
x = .125 miles
So she will overtake him at more than .125 miles
I hop this is right, and hope this helps
Answer:
good to know!
Step-by-step explanation:
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Answer:
Solution:
, 
Step-by-step explanation:
<u>System of Equations</u>
Solve the system:
x + 4y = 14
3x - 2y = 7
using the elimintation method.
To use the elimination method, we must add or subtract both equations in such a way that one of the variables goes away, and only one remains.
It requires to multiply one of them by a specific factor to match the coefficients. For example, multiply the first equation by -3:
-3x - 12y = -42
And add it to the second:
3x - 2y = 7
To result:
-14y = -35
Divide by -14:

Simplifying:

Now calculate x:



Solution:
, 