Answer:
(I'm not sure what you're asking but I believe you're asking for the coordinate where they intersect!)
The lines intersect at (0, 4)
Explanation:
Question:
12x-5y=-20
y=x+4
1) Simplify the first equation!
12x-5y=-20
Move 12x to the other side (remember when you move numbers to the opposite side of the equation, it makes them negative) to isolate y!
-5y=-20-12x
Divide all numbers by -5 to just get the variable y
y=4+12/5x
2) Solve
I'm going to be solving by substitution since I like this method the best!
y=4+12/5x
y=x+4
1) Set the equations equal to another (you'll be replacing the variable of y for an equation)
x+4 will be replacing y of the other equation
x+4 = 4+12/5x
2) Simplify
Subtract x on both sides
x-x + 4 = 4+ 12/5x-x
4=4+7/5x
Subtract 4 on both sides
0=7/5x
x is equal to 0!
3) Find y
1) Set x equal to 0 in an equation (I'm doing y=x+4 because it's easier!)
y=x+4
y=0+4
2) Simplify
y=4
Answer:
(0, 4)