Answer:
Sure, let's solve the system of equations using substitution.
Given:
\[x - 6y = -4\]
\[x = 2y + 4\]
Now, substitute the expression for \(x\) from the second equation into the first equation:
\[(2y + 4) - 6y = -4\]
Combine like terms:
\[2y - 6y + 4 = -4\]
Simplify:
\[-4y + 4 = -4\]
Subtract 4 from both sides:
\[-4y = -8\]
Divide by -4:
\[y = 2\]
Now that we have the value for \(y\), substitute it back into the second equation to find \(x\):
\[x = 2(2) + 4 = 8\]
So, the solution is the ordered pair \((x, y) = (8, 2)\).
