1. Write a system of linear equations for the following statements.
Statement 1: Two numbers have a difference of -4 .
Statement 2: The sum between quadruple the first number and double the second number is 8 .

Answer

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Answer

\(\boxed{x = 0}\) and \(\boxed{y = 4}\)

Steps

Step 1 ：Write a system of linear equations based on the given statements: \(x - y = -4\) and \(4x + 2y = 8\)

Step 2 ：Solve the system of linear equations: \(x = 0\) and \(y = 4\)

Step 3 ：\(\boxed{x = 0}\) and \(\boxed{y = 4}\)