In Exercises 61–66, find all values of x satisfying the given conditions.y1 = 5(2x - 8) - 2, y2 = 5(x - 3) + 3, and y1 = y2.

Linear equations are mathematical statements that express the equality of two linear expressions. They can be represented in the form y = mx + b, where m is the slope and b is the y-intercept. Understanding how to manipulate and solve these equations is crucial for finding the values of x that satisfy the given conditions.

The substitution method involves replacing one variable with an equivalent expression from another equation. In this context, setting y1 equal to y2 allows us to create a single equation in terms of x. This method simplifies the problem and makes it easier to solve for the unknown variable.

Solving for x involves isolating the variable on one side of the equation to find its value. This process may include combining like terms, applying inverse operations, and simplifying expressions. Mastery of this concept is essential for determining the specific values of x that satisfy the equality of the two linear equations.