Owen Valdez
05/28/2024 · Senior High School
Consider the following system of linear equations. \( \begin{array}{l}-8 x-y=-19 \\ -2 x-4 y=14\end{array} \) The first step in the substitution method is to solve one of these equations for \( x \) or \( y \). For example, if we solved the first equation for \( x \) in terms of \( y \), what would be get? \( x= \)
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Step-by-step Solution
Solve the equation \( -8x-y=-19 \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(-8x-y=-19\)
- step1: Move the expression to the right side:
\(-8x=-19+y\)
- step2: Change the signs:
\(8x=19-y\)
- step3: Divide both sides:
\(\frac{8x}{8}=\frac{19-y}{8}\)
- step4: Divide the numbers:
\(x=\frac{19-y}{8}\)
By solving the first equation for \( x \) in terms of \( y \), we get \( x = \frac{19-y}{8} \).
Quick Answer
\( x = \frac{19-y}{8} \)
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