solve the equation.

\10t - 10 = 7t - 1\

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

a. the solution is $t = \square$.
(type an integer or a simplified fraction.)

b. the solution set is $(-\infty, \infty)$.

c. there is no solution.

Question

solve the equation.

\10t - 10 = 7t - 1\

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

a. the solution is $t = \square$.
(type an integer or a simplified fraction.)

b. the solution set is $(-\infty, \infty)$.

c. there is no solution.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Equations" ], "new_concepts": [], "current_concepts": [ "Linear Equations", "Solving Multi-Step Equations" ] } ## Isolate the variable terms $$ \begin{aligned} 10t - 10 &= 7t - 1 \ 10t - 7t - 10 &= -1 \ 3t - 10 &= -1 \end{aligned} $$ ## Isolate the constant terms $$ \begin{aligned} 3t &= -1 + 10 \ 3t &= 9 \end{aligned} $$ ## Solve for t $$ \begin{aligned} t &= \frac{9}{3} \ t &= 3 \end{aligned} $$

(A) The solution is t = 3. (Type an integer or a simplified fraction.)

(B) The solution set is $(-\infty, \infty)$.

(C) There is no solution.

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

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QUESTION IMAGE

Question

Explanation:

Isolate the variable terms

Isolate the constant terms

Solve for t

Answer: