To find the solution of the given system of equations, we need to find the values of x and y that satisfy both equations simultaneously.
We have:
1. y = 4x + 4
2. y = 3x + 3
Since both equations equal y, we can set them equal to each other:
4x + 4 = 3x + 3
Now, we can solve for x:
Subtract 3x from both sides:
4x – 3x + 4 = 3
x + 4 = 3
Next, subtract 4 from both sides:
x = 3 – 4
x = -1
Now that we have the value of x, we can substitute it back into one of the original equations to find y. Let’s use the first equation:
y = 4(-1) + 4
y = -4 + 4
y = 0
So, the solution to the system of equations is:
(x, y) = (-1, 0)
This means that the lines represented by the equations intersect at the point (-1, 0), which is the only solution to this system of equations.