The solution to the system of linear equations is (-1,3). Here's how I got my answer step by step using the substitution method.
Step 1: Solve for either x or y in one of the two equations.
y - 4x = 7
+ 4x + 4x
-----------------------
y = 4x + 7
Step 2: Plug in the value that you got for x or y into the equation that you haven't worked with yet.
2(4x + 7) + 4x = 2
8x + 14 + 4x = 2
12x + 14 = 2
- 14 - 14
-----------------------
12x = -12
------- -------
12 12
x = -1
Step 3: Plug in the number you got for y or x into either of the two equations.
y - 4(-1) = 7
y + 4 = 7
- 4 - 4
-------------------
y = 3
The final answer is (-1,3). If you want to check to make sure that this coordinate is a solution to the system of equations, all you have to do is plug in -1 for x and 3 for y into both equations.
Equation 1: y - 4x = 7
Equation 2: 2y + 4x = 2
3 - 4(-1) = 7 2(3) + 4(-1) = 2
3 + 4 = 7 6 - 4 = 2
7 = 7 2 = 2
I hope all of this makes sense to you :)
