Final answer:
To solve the provided system using substitution, solve the first equation for x, then substitute that expression into the second equation to find y. Afterward, substitute the value of y back into the first equation to find x.
Step-by-step explanation:
To solve the system by substitution, we start with the given system of equations:
- x - 3y = ... (Equation 1)
- -8x + 2y = ... (Equation 2)
We solve Equation 1 for x:
x = 3y + ... (Equation 3)
Now we substitute the expression from Equation 3 into Equation 2 in place of x.
-8(3y + ...) + 2y = ...
Simplify and solve for y:
-24y + ... + 2y = ...
-22y = ...
y = ... / -22
After finding the value of y, substitute it back into Equation 3 to find the value of x. Once you have both values, you have the solution to the system of equations.