c) $-3b+40 = -5$

d.) $4y+(2-3)5 = 75$

e.) $2+\frac{3a}{5} = 17$

****bonus question....be sure to show your work****

$2x-1 = x+4$

Question

c) $-3b+40 = -5$

d.) $4y+(2-3)5 = 75$

e.) $2+\frac{3a}{5} = 17$

****bonus question....be sure to show your work****

$2x-1 = x+4$

Accepted Answer

{ "quality": "clear", "question_count": 4, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Equations", "Variable Isolation" ], "new_concepts": [ "Multi-Step Equations" ], "current_concepts": [ "Linear Equations", "Variable Isolation", "Multi-Step Equations" ] } ## Solve equation c $$ \begin{aligned} -3b + 40 &= -5 \ -3b &= -45 \ b &= 15 \end{aligned} $$ ## Solve equation d $$ \begin{aligned} 4y + (2 - 3) \cdot 5 &= 75 \ 4y + (-1) \cdot 5 &= 75 \ 4y - 5 &= 75 \ 4y &= 80 \ y &= 20 \end{aligned} $$ ## Solve equation e $$ \begin{aligned} 2 + \frac{3a}{5} &= 17 \ \frac{3a}{5} &= 15 \ 3a &= 75 \ a &= 25 \end{aligned} $$ ## Solve bonus question $$ \begin{aligned} 2x - 1 &= x + 4 \ x - 1 &= 4 \ x &= 5 \end{aligned} $$ ## Question c $b = 15$ ## Question d $y = 20$ ## Question e $a = 25$ ## Question Bonus $x = 5$ { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equations" ] }

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