Is the surface area of a cube the same as the volume?
We know that the volume of a cube is equal to s3, where s is the length of a given side of the cube. Since the sides of a cube are all the same, the surface area of the cube is equal to 6 times the area of one face.
What is the basic rule for solving algebraic equations?
The following steps provide a good method to use when solving linear equations. Simplify each side of the equation by removing parentheses and combining like terms. Use addition or subtraction to isolate the variable term on one side of the equation. Use multiplication or division to solve for the variable.
What is the first step in solving an equation?
After simplifying, the first step in solving an equation with a variable on both sides is to get the variable on one side. This is done by reversing the addition or subtraction of one of the terms with the variable.
How do you solve problems with two variables?
In a two-variable problem rewrite the equations so that when the equations are added, one of the variables is eliminated, and then solve for the remaining variable. Step 1: Multiply equation (1) by -5 and add it to equation (2) to form equation (3) with just one variable.
How do you solve 3 equations with 2 variables?
Pick any two pairs of equations from the system. Eliminate the same variable from each pair using the Addition/Subtraction method. Solve the system of the two new equations using the Addition/Subtraction method. Substitute the solution back into one of the original equations and solve for the third variable.
How do you solve for variables?
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 multiplication and division. Solve 3y + 2 = 11. Subtract 2 from both sides of the equation to get the term with the variable by itself.
How do you solve systems of equations with 3 variables by elimination?
To use elimination to solve a system of three equations with three variables, follow this procedure:
- Write all the equations in standard form cleared of decimals or fractions.
- Choose a variable to eliminate; then choose any two of the three equations and eliminate the chosen variable.