What does "give a brief explanation as to what kind of solution(s) you expect the linear equation to have:
18x+1/2=6 (3x+25). Transform the equation into a
simpler form if necessary" mean?
multiply both sides by two to get rid of fraction
36 x + 1 = 12(3x+25)
oh dear
36 x + 1 = 36 x + 300
I do not expect any solution at all
To understand the question and find the expected solution(s) for the given linear equation, let's break it down step by step:
1. The given equation is:
18x + 1/2 = 6(3x + 25)
2. The equation asks for a "brief explanation" of what kind of solution(s) are expected. This means we need to determine if the equation has a single solution, infinitely many solutions, or no solution at all.
To solve the equation and determine the expected solution(s), follow these steps:
Step 1: Simplify the equation if necessary:
Distribute the 6 to the terms inside the parentheses:
18x + 1/2 = 18x + 150
Step 2: Rearrange the equation to isolate the variable on one side:
Subtract 18x from both sides of the equation:
1/2 = 150
Step 3: Analyze the simplified equation:
The equation 1/2 = 150 is false. This means there is no value of x that makes the equation true.
Therefore, the expected solution for this linear equation is that it has no solution. There is no value of x that satisfies the equation.