A one-step equation is an algebraic equation you can solve in only one step. Once you've solved it, you've found the value of the variable that makes the equation true. To solve one-step equations, we do the inverse (opposite) of whatever operation is being performed on the variable, so we get the variable by itself. The inverse operations are:

You can think of an inequality as an equation, except that the equals sign is replaced with a less than or greater than sign. We still need to solve the inequality just like you would an equation.

Graph your math problems. Instantly graph any equation to visualize your function and understand the relationship between variables.

If you have a quadratic like y = x² - 2x +1 and a linear equation like y = 2x - 3, this example intersects at one point, x = 2. y = 1 so the point (2,1) is the only solution to this system of equations. When you are asked to solve an equation, you are being asked to find all values that will make the equation be true. Equations with one variable that are linear equation have 3 possible solution scenarios. 1) The variable has one solution 2) The equation is a contradiction (always false), so it has no solutions. If they didn't both cancel out, you would just have t solve the two equations which you should know how to do. Back to the problem, -5z=15, so z=-3.Plug that into the equation y-z=5 to solve for y. y-(-3)=5, so y+3=5. That gives y=2. Plug both of those into any of the three original equations and solve for x. You get x=0.
Instead, problems with equations that have multiple variables will usually ask you to solve for one of the variables. You'll simplify it as much as you can, with the variable you're solving for on one side of the equation and any other numbers and variables on the other. Let's simplify the expression above: 2x +6y - 10 = 38.
Whenever you perform an operation to one side of the equation, if you perform the same exact operation to the other side, you’ll keep both sides of the equation equal. If the equation is in the form \(ax+b=c\), where x is the variable, you can solve the equation as before. First “undo” the addition and subtraction, and then “undo” the Solving an Equation with More Than One Solution. In your higher classes, you will learn to solve equations with two or more solutions. Let us take an example of a simple equation. Example: (x – 2) (x – 5) = 0. In this case, the variable x will have two solutions. X – 2 = 0. X = 2. And. X – 5 = 0. X = 5. Thus, the two solutions are x = 2

Definition: Solve.We say an equation is solved if and only if we have listed the set of all objects which make the equation true. We say we have found a solution if we have found an element of the solution set.

In this fun math problem, we have a balanced scale with a mystery mass on one side and several 1-kilogram masses on the other. To find the mystery mass, we remove the same number of 1-kilogram masses from both sides, keeping the scale balanced. Then, we can easily determine the mystery mass's weight. Created by Sal Khan. Solving Basic Linear Equations. An equation 129 is a statement indicating that two algebraic expressions are equal. A linear equation with one variable 130, \(x\), is an equation that can be written in the standard form \(ax + b = 0\) where \(a\) and \(b\) are real numbers and \(a ≠ 0\). BVTmd9.
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