Question

What is the solution to the system of equations?

Answer 1

Answer:

$(\frac{3}{2},\frac{5}{2})$

Step-by-step explanation:

The first equation can be rearranged by subtracting y from both sides. This gives you x = 4 - y.

The second equation is x = y - 1

Therefore, as both equations are equal to x, you can say that they are equal to each other, so 4 - y = y - 1.

If you add 1 to each side, you get 5 - y = y

If you add y to each side, you get 5 = 2y

Divide both sides by 2 to get y = 5/2

Now you can substitute 5/2 for y. For example, the second equation becomes x = 5/2 - 1

x is therefore 3/2

This can  be written as $(\frac{3}{2},\frac{5}{2})$, which is the final answer.