We can use the distribution method for this:
1/2r - 3 = 2(4 - 3/2r)
Multiply 2 by everything inside the parentheses:
1/2r - 3 = 8 - 3r.
Move variables to one side, and numbers to another:
1/2r + 3r = 8 + 3.
3 1/2r = 11.
7/2r = 11.
Divide by 7/2:
r = 22/7.
Not sure this is correct.
So,
One tenth of 24 is the same as this:
Multiply
Since you're being asked to find the equation a line that is parallel to y = 2/7x - 3, you can keep the slope as is.
Use the equation of a line and substitute the coordinate and slope.
y - y1 = m(x - x1)
y - 5 = 2/7(x - 14)
y - 5 = 2/7x - 4
y = 2/7x + 1 is the solution.
The distributive property is what simplifies the equation. When distributing, make sure that the number on the outside of the parenthesis multiplies by everything on the inside.
Hope this helps!
