Final answer:
To solve the system of equations using the substitution method, we solve one equation for a variable and substitute that value into the other equation. The solution to the system of equations is x = -7 and y = -2.
Step-by-step explanation:
To solve the system of equations using the substitution method, we can start by solving one equation for a variable and then substituting that value into the other equation. Let's solve the first equation for x:
x + 6y = -19
x = -6y - 19
Now we can substitute this expression for x into the second equation:
-2(-6y - 19) + 5y = 4
Simplify and solve for y:
12y + 38 + 5y = 4
17y = -34
y = -2
Substitute this value of y back into the first equation to find x:
x + 6(-2) = -19
x + (-12) = -19
x = -7
Therefore, the solution to the system of equations is x = -7 and y = -2.