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Worksheet Worksheet 5
1.
Check the presentation for errors. If you find one, circle it and describe the mistake in words.
\begin{equation*}
\begin{aligned}
5x - y \amp = 4 \\
5x - (3x + 4) \amp = 4 \amp \eqnspacer \amp \text{Substitute $y = 3x - 2$} \\
5x - 3x - 4 \amp = 4 \amp \amp \text{Distributive property} \\
2x - 4 \amp = 4 \amp \amp \text{Combine like terms} \\
2x \amp = 0 \amp \amp \text{Subtract $4$ from both sides} \\
x \amp = 0 \amp \amp \text{Divide both sides by $2$}
\end{aligned}
\end{equation*}
2.
Substitute \(n = -2m - 3\) into the expression \(-3m - 2n + 5\) and simplify the result. Use a complete presentation.
3.
Solve the equation \(-2a + 3b - 7 = b\) for when \(b = -a + 2\text{.}\) Use a complete presentation.