Questions: Solve and check the following equation. 5x - 7 = 8 + 4x What is the solution? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The equation has a single solution. The solution set is 15 B. The solution set is x x is a real number. C. The solution set is ∅.

Solve and check the following equation. 5x - 7 = 8 + 4x What is the solution? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The equation has a single solution. The solution set is 15 B. The solution set is x x is a real number. C. The solution set is ∅.
Transcript text: Solve and check the following equation. \[ 5 x-7=8+4 x \] What is the solution? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The equation has a single solution. The solution set is $\{15\}$ B. The solution set is $\{x \mid x$ is a real number $\}$. C. The solution set is $\varnothing$.
failed

Solution

failed
failed

Solution Steps

Step 1: Simplify the equation

Given the equation $5x - 7 = 4x + 8$, we move all terms involving $x$ to one side and constants to the other side to get $5x - 4x = 8 + 7$.

Step 2: Combine like terms

Combining like terms, we get $x(5 - 4) = 8 + 7$.

Step 3: Solve for $x$

Solving for $x$, we find $x = \frac{8 + 7}{5 - 4}$.

Final Answer:

The solution is $x = 15$.

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Level of structure found in hemoglobin but not in insulin: A. Primary B. Secondary C. Tertiary D. Quaternary
failedAnswered
The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except -3. Which of the following describes the domain of (g ∘ f)(x)? - all real values except x=-3 and the x for which f(x) ≠ 7 - all real values except x ≠-3 and the x for which f(x)=-3 - all real values except x=7 and the x for which f(x)=7 - all real values except x ≠ 7 and the x for which f(x) ≠-3
failedAnswered
11. After a hydraulic accumulator has been installed and air chamber charged, the main system hydraulic pressure gauge will not show a hydraulic pressure reading until a. at least one selector valve has been actuated to allow fluid to flow into the fluid side of the accumulator. b. the air pressure has become equal to the fluid pressure. c. the fluid side of the accumulator has been charged.
failedAnswered
Understanding the power rules of exponents Follow the instructions below. Write (2 b)^4 without exponents. (2 b)^4= Fill in the blanks. (2 b)^4= b^
failedAnswered
Which of the following can limit VO2 max? a. Maximal heart rate b. Maximal stroke volume c. Arterial oxygen content d. Oxygen extraction by skeletal muscle e. All of the above may limit VO2 max