Graph the line that passes through the point (4,1) and is parallel to the line y= 1/2x + 6 please :)

D

Explanation:

First off, you could just solve this by testing answers, but since it asks for substitution, here it is:

We can use equation 2 or 3 for the first part, I will use 2 and then 3 just because I think 2 might be easier:

a - b = -2

I will get a by itself by adding b to each side:

a = b - 2

now plug in for the a in equation 3:

2(b-2) + b = 5

We can solve for b now:

2b - 4 + b = 5

3b -4 =5

3b = 9

b = 3

Now we can plug in b to our equation for a to find a:

a = 3 - 2

a = 1

Now that we know a and b lets plug it into the first equation and solve for c:

2(1) - (3) + c = -5

-1 + c = -5

c = -4

Now we know what each variable is.