Solve the following:
\[
\begin{aligned}
2 x+y & =20 \\
y & =6 x+4
\end{aligned}
\]

Answer

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Answer

\(\boxed{x = 2, y = 16}\)

Steps

Step 1 ：Substitute the expression for y from the second equation into the first equation: \(2x + (6x + 4) = 20\)

Step 2 ：Simplify the equation: \(8x + 4 = 20\)

Step 3 ：Solve for x: \(8x = 16\) and \(x = 2\)

Step 4 ：Substitute the value of x back into the second equation to find the value of y: \(y = 6(2) + 4\)

Step 5 ：Solve for y: \(y = 12 + 4\) and \(y = 16\)

Step 6 ：\(\boxed{x = 2, y = 16}\)