Question

when solving an equation with decimals, you may need to
both sides by the decimal coefficient.

checking your solution by substituting it back into the original
equation ensures

the equation \\(\frac{5}{6}x - 1 = 4\\) involves adding 1 to both sides to
isolate the

solving linear equations with fractions and decimals helps in
real - world applications like

to isolate \\(x\\) in \\(\frac{4}{7}x + 1 = 5\\), subtract 1 from both sides and then
multiply by the

in the equation \\(1.5x - 2 = 4\\), dividing both sides by 1.5, after
adding both sides by 2, isolates the

Explanation:

First Question:

When solving an equation with a decimal coefficient (like \(ax = b\) where \(a\) is a decimal), to isolate the variable, we perform the inverse operation of multiplication (since the coefficient is multiplying the variable). So we divide both sides by the decimal coefficient.

Substituting the solution back into the original equation checks if the value satisfies the equation, ensuring that the solution is correct (it makes the equation a true statement).

In the equation \(\frac{5}{6}x - 1 = 4\), the term with the variable is \(\frac{5}{6}x\). By adding 1 to both sides (\(\frac{5}{6}x - 1 + 1=4 + 1\)), we isolate the term containing the variable (\(\frac{5}{6}x\)) on one side.

Answer:

divide

Second Question: