Solve the Equation x = 4/5(x + 10)
Linear equations in one variable are equations that are written as ax + b = 0, where a and b are two integers and x is a variable, and there is only one solution. 3x+2=5, for example, is a linear equation with only one variable. As a result, there is only one solution to this equation, which is x = 3/11. A linear equation in two variables, on the other hand, has two solutions.
A one-variable linear equation is one with a maximum of one variable of order one. The formula is ax + b = 0, using x as the variable.
There is just one solution to this equation. Here are a few examples:
- 4x = 8
- 5x + 10 = -20
- 1 + 6x = 11
Linear equations in one variable are written in standard form as:
ax + b = 0
Here,
- The numbers ‘a’ and ‘b’ are real.
- Neither ‘a’ nor ‘b’ are equal to zero.
Solving Linear Equations in One Variable
The steps for solving an equation with only one variable are as follows:
Step 1: If there are any fractions, use LCM to remove them.
Step 2: Both sides of the equation should be simplified.
Step 3: Remove the variable from the equation.
Step 4: Make sure your response is correct.
For Example:
Consider the equation: 4x – 3 = -2x + 12
Solving the above equation for x as follows:
4x – 3 = -2x + 12
4x + (-2x) = 12 + 3
2x = 15
x = 15/2
Solve the Equation x = 4/5(x + 10)
Solution:
Given that,
x = 4/5 (x +10)
When we multiply both sides by 5, we get
5x = 4 (x + 10)
5x = 4x + 40
After subtracting 4x from both sides, we obtain that
5x – 4x = 4x + 40 – 4x
x = 40
Hence, the value of x is 40.
Similar Questions
Question 1: Solve for z, 2z = 4z +2.
Answer:
Given that,
2z = 4z + 2
After subtracting 4z from both sides, we obtain that
2z – 4z = 4z + 2 – 4z
-2z = 2
Let’s divide both side of the above equation by -2 as,
x = -1
Question 2: Solve for y, 2y – 4 = 0
Answer:
Given that,
2y – 4 = 0
After subtracting 2y from both sides, we obtain that
2y – 2y – 4 = 0 – 2y
-4 = -2y
or
4 = 2y
Let’s divide both side of the above equation by 2 as,
y = 2
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