Solving Linear Equations: A Step-by-Step Guide
In this article, we will explore how to solve linear equations, specifically focusing on the examples of 0.8(x-2)+2=6
and 5(7+x)=0
. Linear equations are a fundamental concept in algebra, and understanding how to solve them is crucial for success in mathematics and science.
Example 1: 0.8(x-2)+2=6
To solve this equation, we can start by isolating the variable x
. Our goal is to get x
alone on one side of the equation.
Step 1: Subtract 2 from both sides
0.8(x-2) + 2 = 6
Subtracting 2 from both sides gives us:
0.8(x-2) = 4
Step 2: Divide both sides by 0.8
x - 2 = 4/0.8
Step 3: Add 2 to both sides
x = 4/0.8 + 2
x = 5 + 2
x = 7
Therefore, the value of x
is 7.
Example 2: 5(7+x)=0
To solve this equation, we can start by distributing the 5 to the terms inside the parentheses.
35 + 5x = 0
Step 1: Subtract 35 from both sides
5x = -35
Step 2: Divide both sides by 5
x = -35/5
x = -7
Therefore, the value of x
is -7.
Conclusion
In this article, we have demonstrated how to solve two linear equations: 0.8(x-2)+2=6
and 5(7+x)=0
. By following the steps outlined above, we were able to isolate the variable x
and find its value. Linear equations are a fundamental concept in algebra, and understanding how to solve them is crucial for success in mathematics and science.