solve and check the following linear equation.

(9x - (2x - 3) = 45)

select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. the solution set is \{ \} (type an integer or a simplified fraction.)
b. the solution set is \{x | x \text{ is all real number}\} .
c. the solution set is $\varnothing$.

Question

solve and check the following linear equation.

(9x - (2x - 3) = 45)

select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. the solution set is \{ \} (type an integer or a simplified fraction.)
b. the solution set is \{x | x \text{ is all real number}\} .
c. the solution set is $\varnothing$.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Linear Equations", "Distributive Property" ], "current_concepts": [ "Linear Equations", "Distributive Property", "Solution Sets" ] } ## Distribute the negative sign and simplify $$ \begin{aligned} 9x - (2x - 3) &= 45 \ 9x - 2x + 3 &= 45 \ 7x + 3 &= 45 \end{aligned} $$ ## Isolate the variable term $$ \begin{aligned} 7x &= 45 - 3 \ 7x &= 42 \end{aligned} $$ ## Solve for x $$ \begin{aligned} x &= \frac{42}{7} \ x &= 6 \end{aligned} $$

(A) The solution set is {6}

(B) The solution set is {x|x is all real number}

(C) The solution set is $\varnothing$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equations" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Distribute the negative sign and simplify

Isolate the variable term

Solve for x

Answer: