Find the value of x

Question

asked Feb 26, 2024 206k views

2 Answers

Gmiley · Answer 1 · 2024-02-29T22:55:21+0000

Answer:

Option C. 5.5

Explanation:

To solve for x in the equation:

$\sf\implies(3x - 4)/(14) = (9)/(10)$

We need to isolate x on one side of the equation.

First, we simplify the left side by solving the division:

$\sf\implies((3x - 4))/(14) = (9)/(10)$

Next, we cross-multiply to eliminate the fractions:

$\sf\implies 10(3x - 4) = 14(9)$

$\sf\implies 30x - 40 = 126$

Now, we isolate x by adding 40 to both sides of the equation:

$\sf\implies 30x = 166$

Finally, we solve for x by dividing both sides of the equation by 30:

$\sf\implies x = (166)/(30)$

$\sf\implies x = 5.533$

Therefore, the value of x is approximately 5.533. Thus, the correct option is C. 5.5.

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