Question

x + y = 5\
x - y = 1\
show your work

Explanation:

Step1: Add the two equations

To eliminate \( y \), we add the equations \( x + y = 5 \) and \( x - y = 1 \).

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Step2: Solve for \( x \)

Divide both sides of \( 2x = 6 \) by 2.

$$ x=\frac{6}{2}=3 $$

Step3: Substitute \( x = 3 \) into \( x + y = 5 \)

Substitute \( x = 3 \) into the first equation \( x + y = 5 \) to find \( y \).

$$ 3 + y = 5 $$

Subtract 3 from both sides:

$$ y = 5 - 3 = 2 $$

Answer:

The solution to the system of equations is \( x = 3 \) and \( y = 2 \).