Q:

Solving Linear EquatSolve the linear equation:3.4 + 2(9.7 – 4.8x) = 61.2

Accepted Solution

A:
Answer:Step-by-step explanation:Simplifying3.4 + 2(9.7 + -4.8x) = 61.23.4 + (9.7 * 2 + -4.8x * 2) = 61.23.4 + (19.4 + -9.6x) = 61.2Combine like terms: 3.4 + 19.4 = 22.822.8 + -9.6x = 61.2Solving22.8 + -9.6x = 61.2Solving for variable 'x'.Move all terms containing x to the left, all other terms to the right.Add '-22.8' to each side of the equation.22.8 + -22.8 + -9.6x = 61.2 + -22.8Combine like terms: 22.8 + -22.8 = 0.00.0 + -9.6x = 61.2 + -22.8-9.6x = 61.2 + -22.8Combine like terms: 61.2 + -22.8 = 38.4-9.6x = 38.4Divide each side by '-9.6'.x = -4Simplifyingx = -4