What are the coordinates of these two equations after solving using substitution?

2x-y=-11 and x+4y=17

Do you have anything to replace the variables with?

If not, then I think you should replace x by 0 and find y. Then replace y by 0 and find x.

Maybe, not sure.

an equation has no coordinates.

If you want the coordinates of the two lines' intersection, then just solve for x and y.

The first equation tells you that

y = 2x+11

so use that in the 2nd equation and you have

x+4(2x+11) = 17
x+8x+44 = 17
9x = -27
x = -3
Now, y = 2x+11 = 2(-3)+11 = 5

So, the lines intersect at (-3,5)

Just to be sure, check that (-3,5) lies on each of the original lines.

To solve this system of equations using substitution, follow these steps:

1. Solve one equation for one variable in terms of the other variable. Let's solve the first equation (2x - y = -11) for y:
2x - y = -11
-y = -11 - 2x (subtract 2x from both sides)
y = 2x + 11 (multiply both sides by -1 to get y alone)

2. Substitute the expression for y in the second equation (x + 4y = 17) with the value obtained in step 1:
x + 4(2x + 11) = 17 (substitute 2x + 11 for y)
x + 8x + 44 = 17 (distribute 4 to 2x and 11)
9x + 44 = 17 (combine like terms)

3. Solve the resulting equation for x:
9x + 44 = 17
9x = 17 - 44 (subtract 44 from both sides)
9x = -27
x = -27/9 (divide both sides by 9)
x = -3

4. Substitute the value of x back into one of the original equations to solve for y. Let's use the first equation:
2(-3) - y = -11 (substitute x = -3)
-6 - y = -11
-y = -11 + 6 (add 6 to both sides)
-y = -5
y = 5

Therefore, the solution to the system of equations is x = -3 and y = 5.

Hence, the coordinates of the intersection point are (-3, 5).