Question

solve the system of equations below using the elimination method:

\\(2x + y = 11\\)
\\(2x - y = 5\\)

Explanation:

Set up the system of equations

Using the Elimination Method knowledge point

$$
LATEXBLOCK0
$$

Eliminate the variable y

Using the Elimination Method knowledge point

$$
LATEXBLOCK1
$$

Solve for x

Using the Solving Multi-Step Equations knowledge point

$$
LATEXBLOCK2
$$

Substitute x to find y

Using the Solving Multi-Step Equations knowledge point

$$
LATEXBLOCK3
$$

State the final solution

Using the Elimination Method knowledge point

$$ (x, y) = (4, 3) $$

Answer:

Solve the system of equations below using the elimination method:

\(2x + y = 11\)
\(2x - y = 5\)

\(x =\) <blank>4</blank>
\(y =\) <blank>3</blank>