i need help setting up 2 equations.
The sum of the radius,r, times 2 and 3 equals 4 less than the radius,r.
The sum of the radius, r, times 13 and 15 equals 16 less than twice the radius,r.
a) 2r+3=r-4
b) 13r+15=2r-16
Does that help?
yes it does thanks so much
To set up the equations, we need to translate the given information into mathematical expressions.
1) The sum of the radius, r, times 2 and 3 equals 4 less than the radius, r.
This can be expressed as:
2r + 3r = r - 4
2) The sum of the radius, r, times 13 and 15 equals 16 less than twice the radius, r.
This can be expressed as:
13r + 15r = 2r - 16
Now, we can solve for the unknown variable, r, by simplifying and solving the resulting equations.
For equation 1:
2r + 3r = r - 4
5r = r - 4
4r = -4
r = -1
For equation 2:
13r + 15r = 2r - 16
28r = 2r - 16
26r = -16
r = -16/26
r = -8/13
Therefore, the solutions to the given equations are r = -1 and r = -8/13.