Step-by-step explanation:
To solve this system of equations, you can use the method of substitution or elimination.
Let's solve it by the method of substitution:
Given:
1) \(2x + y = -2\) ...(Equation 1)
2) \(x + y = 5\) ...(Equation 2)
From Equation 2, we can express \(y\) in terms of \(x\):
\(y = 5 - x\)
Now substitute this expression for \(y\) into Equation 1:
\(2x + (5 - x) = -2\)
Solve for \(x\):
\(2x + 5 - x = -2\)
\(x + 5 = -2\)
\(x = -2 - 5\)
\(x = -7\)
Now that we have \(x = -7\), substitute it back into \(y = 5 - x\) to find \(y\):
\(y = 5 - (-7)\)
\(y = 5 + 7\)
\(y = 12\)
Therefore, the solution to the system of equations is \(x = -7\) and \(y = 12\), expressed as the coordinate (-7, 12).
