Question

use substitution to solve the system of equations.
2x + y = 4
-2x + y = -4
need help?

Explanation:

Step1: Solve for y in first equation

From \(2x + y = 4\), we get \(y = 4 - 2x\).

Step2: Substitute y into second equation

Substitute \(y = 4 - 2x\) into \(-2x + y = -4\):
\(-2x + (4 - 2x) = -4\)
Simplify: \(-4x + 4 = -4\)
Subtract 4: \(-4x = -8\)
Divide by -4: \(x = 2\).

Step3: Find y using x=2

Substitute \(x = 2\) into \(y = 4 - 2x\):
\(y = 4 - 2(2) = 0\).

Answer:

The solution is \(x = 2\), \(y = 0\) (or the ordered pair \((2, 0)\)).