linear equations
is there a question here?
bob can u please answer my physics questions
Linear equations are equations in which the highest power of the variable is 1. They represent straight lines on a coordinate plane. The general form of a linear equation in one variable (x) is:
ax + b = 0
where "a" and "b" are constants. To solve a linear equation, we want to find the value of x that satisfies the equation.
To solve a linear equation, follow these steps:
1. Start by collecting like terms on one side of the equation. Move all the terms containing x to one side and the constant terms to the other side.
2. Simplify the equation by combining like terms.
3. If needed, isolate the variable x by dividing both sides of the equation by the coefficient of x (a).
4. Solve for x by dividing the constant term on the other side by the coefficient of x (a).
5. Check the solution by substituting the value of x back into the original equation. If the equation holds true, then the solution is correct.
For example, let's solve the linear equation 3x - 7 = 2x + 5:
1. Move all terms containing x to one side:
3x - 2x = 5 + 7
2. Simplify the equation:
x = 12
3. The variable x is already isolated.
4. Solve for x:
x = 12
5. Check the solution:
Substitute x = 12 back into the original equation:
3(12) - 7 = 2(12) + 5
36 - 7 = 24 + 5
29 = 29
Since the equation holds true, the solution x = 12 is correct.