To find the solution to the system of equations given by y = 4x + 4 and y = 3x + 3, we can use the substitution or elimination method. In this case, we will use the substitution method:
1. Since both equations are equal to y, we can set them equal to each other:
4x + 4 = 3x + 3
2. Next, we can solve for x. Start by isolating x on one side of the equation:
4x – 3x = 3 – 4
This simplifies to:
x = -1
3. Now that we have the value of x, we can substitute it back into either of the original equations to find y. We’ll use the first equation:
y = 4(-1) + 4
This simplifies to:
y = -4 + 4 = 0
4. Now we have both values:
x = -1
y = 0
Therefore, the solution to the system of equations is:
(x, y) = (-1, 0)