12х – 5y = — 20
y = x+4
can someone help me find the x and y

(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)

Step-by-step 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

(0, 4)

0 I think because when you plug y in and combine like terms, you get 7x=0

The answer is 9.