Here are the essential concepts you must grasp in order to answer the question correctly.
Linear Equations
Linear equations are mathematical statements that express the equality of two linear expressions. In this context, the equations y1 and y2 represent linear functions of x. Understanding how to manipulate and solve these equations is essential for finding the values of x that satisfy the given conditions.
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Substitution Method
The substitution method involves replacing one variable with an equivalent expression to simplify the problem. In this case, we can substitute the expressions for y1 and y2 into the equation y1 - y2 = 1 to find the value of x. This technique is crucial for solving systems of equations efficiently.
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Solving for x
Solving for x involves isolating the variable in an equation to determine its value. This process often requires combining like terms, applying inverse operations, and simplifying expressions. In this exercise, finding the correct value of x that satisfies the equation y1 - y2 = 1 is the ultimate goal.
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