Final answer:
To solve the system of equations by substitution, we first isolated x in the first equation, then substituted that expression into the second equation to solve for y. After finding y, we plugged it back into the first equation to find x. The solution is x=0 and y=1.
Step-by-step explanation:
To solve the system of equations x - 4y = -4 and x - 3y = -3 by substitution, we start by isolating one variable in one equation and substituting its value into the other equation. Let's solve for x in the first equation:
x = 4y - 4
Now, substitute this expression for x into the second equation:
(4y - 4) - 3y = -3
Simplify the equation:
4y - 3y = 1y
1y - 4 = -3
Add 4 to both sides of the equation:
y = 1
Now that we have the value of y, we can substitute it back into the original equation to find x:
x = 4(1) - 4
x = 4 - 4
x = 0
So the solution to the system of equations is x = 0 and y = 1.