Question

x+y=17
x-y=-3

Answer 1

To solve the system of equations:

1. \( x + y = 17 \) (Equation 1)
2. \( x - y = -3 \) (Equation 2)

We can use the method of elimination or substitution. Here, we'll use elimination.

First, we can add both equations together:

\[
(x + y) + (x - y) = 17 + (-3)
\]

This simplifies to:

\[
2x = 14
\]

Now, divide both sides by 2:

\[
x = 7
\]

Next, we can substitute the value of \( x \) back into one of the original equations to find \( y \). We'll use Equation 1:

\[
7 + y = 17
\]

Subtract 7 from both sides:

\[
y = 10
\]

Thus, the solution to the system of equations is:

\[
x = 7, \quad y = 10
\]

So, the final answer is \( (x, y) = (7, 10) \).