The solution for the given system of equations is ((x, y) = (-1, 4)).
The given system of equations is:
=−x+3
=x+5
To solve this system, we can use the substitution method. We can solve one equation for one variable and substitute the expression into the other equation to solve for the other variable.
From the first equation, we have:
y=−x+3
We can substitute this expression for (y) in the second equation:
−x+3=x+5
Simplifying this equation, we get:
2x=−2
Dividing both sides by 2, we get:
x=−1
Now, we can substitute this value of (x) into either equation to solve for (y). Using the first equation, we have:
y=−(−1)+3=4
Therefore, the solution for the given system of equations is ((x, y) = (-1, 4)).