Q:
# What Is a System of Equations?

**A system of equations is a group of multiple equations solved simultaneously to reach the same or multiple solutions.** Many systems of equations can be graphed on a coordinate plane for easy visualization and solving. However, not all systems have solutions, and some have many solutions.

Systems of equations can be used to represent the abstract language in word problems, making them easier to solve to the average math student. The defining characteristic is that all equations in the system share the same variables, which must logically represent the same value or values between equations.

Systems of equations can be solved by the substitution and combination methods. This involves adding the terms of the equations after multiplying them so that one set of terms cancels out. For example, 3x + 6y = 9 and -3x + 4y = 11 simplifies to 10y = 20, leaving y as 2. Then substituting 2 as y can be used to solve for x. In the system, x is equal to -1.

By setting the two terms to 0 and solving, it's possible to find the intercepts and draw line segments through them. Then, finding the intersection of the two lines provides the solution to the system. Should two or more lines end up parallel, there is no solution. If it is the same line, the system an infinite number of solutions. Nonlinear equations, such as parabolas and sinusoidal functions, can have two or more solutions.

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Q:
## How Do You Use the Wolfram Alpha System of Equations?

A: As of 2014, the Wolfram Alpha system of equations widget can solve a system of up to four equations. Enter the equations into the widget, and click the "Su... Full Answer >Filed Under: -
Q:
## How Do You Solve Compound Inequalities?

A: To solve compound inequalities, graph each line of the inequality system, determine the solutions that apply to each and find which set of solutions overla... Full Answer >Filed Under: -
Q:
## What Is Regents Exam Prep for Algebra and Trigonometry ?

A: Regents Exam preparation for algebra and trigonometry includes developing and sharpening the following math skills: operations, functions, statistics, prob... Full Answer >Filed Under: -
Q:
## How Do You Solve Rational Equations?

A: To solve rational equations, use the common denominator to resolve all the fractions. Removing the denominators makes it much easier to deal with the remai... Full Answer >Filed Under: