Questions: for the variable in the equation: (7x+4)/3 = 9/2 x = -2 1/14 x = -11/14 x = -4 9/14 x = 1 5/14

for the variable in the equation: (7x+4)/3 = 9/2 x = -2 1/14 x = -11/14 x = -4 9/14 x = 1 5/14
Transcript text: for the variable in the equation: $\frac{7 x+4}{3}=\frac{9}{2}$ \[ \begin{array}{l} x=-2 \frac{1}{14} \\ x=-\frac{11}{14} \\ x=-4 \frac{9}{14} \\ x=1 \frac{5}{14} \end{array} \]
failed

Solution

failed
failed

Solution Steps

To solve the equation \(\frac{7x + 4}{3} = \frac{9}{2}\), we need to isolate the variable \(x\). We can do this by first eliminating the fractions through cross-multiplication, then solving the resulting linear equation.

Step 1: Eliminate the Fraction

We start with the equation: \[ \frac{7x + 4}{3} = \frac{9}{2} \] To eliminate the fraction, we can cross-multiply: \[ 2(7x + 4) = 3 \cdot 9 \]

Step 2: Simplify the Equation

Expanding both sides gives: \[ 14x + 8 = 27 \] Next, we isolate \(x\) by subtracting 8 from both sides: \[ 14x = 27 - 8 \] This simplifies to: \[ 14x = 19 \]

Step 3: Solve for \(x\)

Now, we divide both sides by 14: \[ x = \frac{19}{14} \] Converting this to a mixed number gives: \[ x = 1 \frac{5}{14} \]

Final Answer

\(\boxed{x = 1 \frac{5}{14}}\)

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
max height = v t + 1/2 a t^2 (meters)
failedAnswered
TB Problem Qu. 12-201 (Algo) Liquidation of partnership Green, Tan, and Brown decide to liquidate their partnership. The partnership agreement states that they share income and losses equally. Partner capital balances follow: Green, 148,400; Tan, 187,500; and Brown, 174,700. On December 31, the liquidation results in a 456,000 loss. If the partner with a deficit covers the deficit by paying cash, prepare journal entries on December 31 to (a) Record the cash received to cover the deficit. (b) Record the final cash disbursement to the partners.
failedAnswered
Solve the inequality. -3(1-x)+x ≤ -(9-2x)+9 The solution set is
failedAnswered
Which three statements are true of the values-based position argument genre? Values-based positions can easily lend themselves to bias and logical fallacies. When using a values-based position, writers must avoid an overly emotional tone and relying too much on emotional (pathos) arguments. Values-based positions typically include a discussion of the main cause of a problem. Values-based positions rely on the writer to appeal to a common value with the audience.
failedAnswered
Based on the diagram below, what is the average velocity of the object if it starts at position A, then goes to B, then goes to C, if this all took 53.15 s to happen.