Question

solve the system.
x + y = 4
x - y = 4

Explanation:

Step1: Add the two equations

Add the equations \(x + y = 4\) and \(x - y = 4\) together.

$$
LATEXBLOCK0
$$

Step2: Solve for x

Divide both sides of \(2x = 8\) by 2.

$$ x=\frac{8}{2}=4 $$

Step3: Substitute x into first equation

Substitute \(x = 4\) into \(x + y = 4\).

$$ 4 + y = 4 $$

Step4: Solve for y

Subtract 4 from both sides of \(4 + y = 4\).

$$ y=4 - 4=0 $$

Answer:

The solution to the system is \(x = 4\) and \(y = 0\)