Henry Donnelly
02/14/2024 · Junior High School
Consider the linear equation \( 4 x+4 y=16 \) The following two ordered pairs \( (x, y) \) represent solutions to this equation. Use the equation to fill in the missing coordinates. \( (-3,-1) \)
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Step-by-step Solution
Given the linear equation \(4x + 4y = 16\) and the ordered pair \((-3, -1)\), we need to substitute the values of \(x\) and \(y\) into the equation to check if they satisfy the equation.
Substitute \(x = -3\) and \(y = -1\) into the equation \(4x + 4y = 16\):
\(4(-3) + 4(-1) = 16\)
Simplify the equation:
\(-12 - 4 = 16\)
\(-16 = 16\)
Since \(-16 \neq 16\), the ordered pair \((-3, -1)\) does not satisfy the equation \(4x + 4y = 16\).
Therefore, the ordered pair \((-3, -1)\) is not a solution to the equation \(4x + 4y = 16\).
Quick Answer
The ordered pair \((-3, -1)\) is not a solution to the equation \(4x + 4y = 16\).
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