Question

Solve the linear equations 3.4+2(9.7-4.8x)=61.2

Answer 1

Sure, let's solve the linear equation step by step:

\(3.4 + 2(9.7 - 4.8x) = 61.2\)

First, simplify within the parentheses:

\(3.4 + 2(9.7 - 4.8x) = 61.2\)

\(3.4 + 19.4 - 9.6x = 61.2\)

Combine like terms:

\(22.8 - 9.6x = 61.2\)

Now, isolate the term with \(x\):

\(22.8 - 9.6x = 61.2\)

Subtract 22.8 from both sides:

\(-9.6x = 38.4\)

Finally, solve for \(x\):

\(x = \frac{38.4}{-9.6}\)

\(x = -4\)

So, the solution to the equation is \(x = -4\).

Answer 2

The solution to the linear equation 3.4 + 2(9.7 - 4.8x) = 61.2 is x = -4. This is found by distributing, combining like terms, and isolating the variable x.

Step-by-step explanation:

The student's question involves solving the linear equation 3.4+2(9.7-4.8x)=61.2. To solve for x, follow these steps:

1. Distribute the 2 into the parentheses: 3.4 + 2 * 9.7 - 2 * 4.8x = 61.2
2. Simplify the equation: 3.4 + 19.4 - 9.6x = 61.2
3. Combine like terms: 22.8 - 9.6x = 61.2
4. Subtract 22.8 from both sides: -9.6x = 61.2 - 22.8
5. Simplify the equation: -9.6x = 38.4
6. Divide both sides by -9.6 to solve for x: x = 38.4 / -9.6
7. Complete the calculation: x = -4

The solution to the equation is x = -4.