Question
Solve and check the linear equation.
What is the solution? Select the correct choice below and
What is the solution? Select the correct choice below and
Ask by Conner Young. in the United States
Jan 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Solution
Solve the equation
.
Solve the equation by following steps:
Solve the equation by following steps:
- step0: Solve for
:
- step1: Multiply both sides of the equation by LCD:
- step2: Simplify the equation:
- step3: Move the expression to the left side:
- step4: Add and subtract:
- step5: Add and subtract:
- step6: Change the signs:
- step7: Divide both sides:
- step8: Divide the numbers:
The solution to the linear equationis or .
Answered by UpStudy AI and reviewed by a Professional Tutor
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Mind Expander
To solve the linear equation
, we’ll start by eliminating the fractions. The least common multiple of the denominators (12, 6, and 4) is 12, so we multiply the entire equation by 12:
This simplifies to:
Now, simplify the right side:
Next, isolate x by subtracting x from both sides:
Add 4 to both sides:
Now, divide by 2:
To check, substitute
back into the original equation to ensure both sides are equal:
For the right side:
Finding a common denominator for
:
Both sides are equal, confirming that
is indeed the correct solution!