Question

If \[\dfrac{3}{4} = \dfrac{7}{x}\], then what will be the value of \[x\]?

Answer 1

Hint: According to the question, the given equation is known as the Linear equation with one variable. The equation can also be written as \[3x - 28 = 0\]. By solving this equation, we will be getting the value of \[x\].

Complete step-by-step answer:
The given equation is:
\[ \Rightarrow \dfrac{3}{4} = \dfrac{7}{x}\]
Now, we will multiply all terms by the same value. This is done to eliminate the fraction denominators.
\[ \Rightarrow \dfrac{3}{4} \times x = \dfrac{7}{x} \times x\]
Now, we will cancel the multiplied terms which are in the denominator, and we get:
\[ \Rightarrow \dfrac{3}{4}x = 7\]
Now, we will combine the multiplied terms into a single fraction, and we get:
\[ \Rightarrow \dfrac{{3x}}{4} = 7\]
Now, we will multiply all terms by the same value to eliminate the fraction denominators, and we get:
\[ \Rightarrow \dfrac{{3x}}{4} \times 4 = 7 \times 4\]
Now, we will cancel the multiplied terms that are in the denominator, and we get:
\[ \Rightarrow 3x = 7 \times 4\]
By solving this equation, we get:
\[ \Rightarrow 3x = 28\]
On dividing both the sides of the equation by the same term, we get:
\[ \Rightarrow \dfrac{{3x}}{3} = \dfrac{{28}}{3}\]
On solving we get that:
\[ \Rightarrow x = \dfrac{{28}}{3}\]
Therefore, the value of \[x = \dfrac{{28}}{3}\].

Note: Linear equations cannot predict the future, but they do provide a reasonable estimate of what to expect so that you can prepare ahead. Linear equations can help us solve a wide variety of problems in our daily lives by explaining some relationships between what we know and what we want to know.