Algebra-1

We have the following system of equations:

y - 3 = (x - 1)²
2x + y = 5
Let's solve this system step by step.

First, we can expand equation 1) to obtain:

y - 3 = x² - 2x + 1

Simplifying further:

y = x² - 2x + 4

Now, we substitute this expression for y into equation 2):

2x + (x² - 2x + 4) = 5

Combining like terms:

x² - 2x + 2x + 4 = 5

Simplifying:

x² + 4 = 5

Subtracting 4 from both sides:<...