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What is the purpose of solving equations with variables on both sides?
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How can you use proportions to solve equations with variables on both sides?
A calculator can be used to proportions to answer a equation. This is easier to solve when having variables on both sides.
What are the steps to solving equations and inequalities?
Just keep doing the same thing to both sides of the equation at every step.
Why is it essential to use balance equations in solving stoichiometric problems?
It is essential to use balanced equations when solving stoichiometric problems because each kind of atom has to be the same on both sides of the equation. The chemical reactions that take place are molar ratios.
What is algebraic strategy for solving a system of equations when two expressions are the same?
An expression is the algebraic representation of a number - an expression has a numeric value.An equation is an algebraic statement claiming that two expressions have the same numeric value. The equation has a Boolean value (true or false).If two equations can be expressed in an identical manner (the same expression on both sides) - then these equations are the same equation.In order for a system of equations to have a solution, the number of different equations in the system must be equal to the number of variables in the system. If there are more distinct equations than there are variables, than the system has no solution. If there are less, then the system may have no solution, or infinitely many solutions.In the case described there is most likely an infinite number of solutions
How do you solve inequalities with variables on both sides?
This is quite similar to solving equations. Here is an example: 4x > x - 9 Subtract "x" on both sides: 3x > -9 Divide by 3: x > -3 The main precaution is that if you multiply by a negative number, you MUST invert the inequality! Here is another example: 3x > 5x + 10 Subtract "5x" on both sides: -2x > 10 Divide by (-2); note that the inequality MUST be turned around in this case: x < -5
How can you use proportions to solve equations with variables on both sides?
A calculator can be used to proportions to answer a equation. This is easier to solve when having variables on both sides.
How do you solve equations with variables on both sides with fractions?
You first find a common denominator. The least common denominator is preferable but not essential. Multiply each term in the equation by this common denominator. The equation now has no fractions, only variables on both sides. If the resulting equation is linear, quadratic, cubic or exponential then there are relatively simple ways of solving them. There may be an analytical method for solving polynomials of higher order or other equations. However, whether or not there is a method will depend on the precise nature of the equation.
How do you solve radical equations with variables on both sides?
First, get the radical by itself. Then, square both sides of the equation. Then just solve the rest.
What are the steps to solving equations and inequalities?
Just keep doing the same thing to both sides of the equation at every step.
Why is it essential to use balance equations in solving stoichiometric problems?
It is essential to use balanced equations when solving stoichiometric problems because each kind of atom has to be the same on both sides of the equation. The chemical reactions that take place are molar ratios.
How is the multiplication or division property of equality used in the elimination method and are the properties always needed?
If you multiply or divide an equation by any non-zero number, the two sides of the equation remain equal. This property is almost always needed for solving equations in which the variables have coefficients other than 1.
What is algebraic strategy for solving a system of equations when two expressions are the same?
An expression is the algebraic representation of a number - an expression has a numeric value.An equation is an algebraic statement claiming that two expressions have the same numeric value. The equation has a Boolean value (true or false).If two equations can be expressed in an identical manner (the same expression on both sides) - then these equations are the same equation.In order for a system of equations to have a solution, the number of different equations in the system must be equal to the number of variables in the system. If there are more distinct equations than there are variables, than the system has no solution. If there are less, then the system may have no solution, or infinitely many solutions.In the case described there is most likely an infinite number of solutions
Y divided by 7 plus 6 equals 11?
Solving the equations y/7 +6 = 11 Subtract 6 from both sides: y/7 = 5 multiply both sides by 7: 7 = 35
Explain how solving inequalities is alike and different from solving equations?
Most of the steps are the same. The main difference is that if you multiply or divide both sides of an inequality by a NEGATIVE number, you must change the direction of the inequality sign (for example, change "less than" to "greater than").
How do you solve inequalities with variables on both sides?
This is quite similar to solving equations. Here is an example: 4x > x - 9 Subtract "x" on both sides: 3x > -9 Divide by 3: x > -3 The main precaution is that if you multiply by a negative number, you MUST invert the inequality! Here is another example: 3x > 5x + 10 Subtract "5x" on both sides: -2x > 10 Divide by (-2); note that the inequality MUST be turned around in this case: x < -5
What do you call the solution of a equation derived from an original equation that is not a solution of the original equation?
That's an extraneous solution. You need to check for these when algebraically solving equations, especially when you take both sides of an equation to a power.
What are the differences between solving equations and solving inequalities?
One important difference is that if you multiply or divide both sides by a negative number, you need to invert the inequality sign. Example: -2x > 5 Dividing both sides by (-2): x < -2.5 Note that the greater-than sign changed to a less-than sign, because of the multiplication by a negative number.
