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Solving an equation for y and x
Solving an equation for y and x
Solving an equation for y and x
SOLVED: Which equation, when solved, results in a different value of x than the other three? 
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Math problem: Equivalent equation 
Which equation, when solved, results in a different value of x than the other three?. Negative 7/8 (Negative 8/7 ) x minus three-fourths = 20 (Negative 8/7 )
Did you find an error or inaccuracy? Feel free to write us. Thank you for submitting an example text correction or rephasing
Need help calculating sum, simplifying, or multiplying fractions? Try our fraction calculator.. Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?
Expert Maths Tutoring in the UK 
A number x is 4 less than three times another number y. Let’s create equations in two variables and then solve them.
Again, it’s given that: ‘if their sum is increased by 5, the result is 25’:. Substituting the value of x in the second equation:
Solving Simultaneous Equations: The Substitution Method and the Addition Method 
The terms simultaneous equations and systems of equations refer to conditions where two or more unknown variables are related to each other through an equal number of equations.. For this set of equations, there is but a single combination of values for x and y that will satisfy both.
Plotted on a graph, this condition becomes obvious:. Each line is actually a continuum of points representing possible x and y solution pairs for each equation.
There is only one point where the two linear functions x + y = 24 and 2x – y = -6 intersect (where one of their many independent solutions happen to work for both equations), and that is where x is equal to a value of 6 and y is equal to a value of 18.. Usually, though, graphing is not a very efficient way to determine the simultaneous solution set for two or more equations
Quadratic equation 
In algebra, a quadratic equation (from Latin quadratus ‘square’) is any equation that can be rearranged in standard form as. The values of x that satisfy the equation are called solutions of the equation, and roots or zeros of the expression on its left-hand side
If all the coefficients are real numbers, there are either two real solutions, or a single real double root, or two complex solutions that are complex conjugates of each other. A quadratic equation always has two roots, if complex roots are included; and a double root is counted for two
Solutions to problems that can be expressed in terms of quadratic equations were known as early as 2000 BC.. Because the quadratic equation involves only one unknown, it is called “univariate”
Solving Systems of Equations (Simultaneous Equations) 
If you have two different equations with the same two unknowns in each, you can solve for both unknowns. There are three common methods for solving: addition/subtraction, substitution, and graphing.
To use the addition/subtraction method, do the following:. – Multiply one or both equations by some number(s) to make the number in front of one of the letters (unknowns) the same or exactly the opposite in each equation.
– Solve for the other unknown by inserting the value of the unknown found in one of the original equations.. Now inserting 5 for x in the first equation gives the following:
The Improving Mathematics Education in Schools (TIMES) Project. The Improving Mathematics Education in Schools (TIMES) Project
It provides the written language in which mathematical ideas are described.. Many parts of mathematics are initiated by finding patterns and relating to different quantities
As these patterns and relationships became more complicated, their verbal descriptions became harder and harder to understand. Our modern algebraic notation greatly simplifies this task.
Systems of Linear Equations: Three Variables 
– Solve systems of three equations in three variables.. – Identify inconsistent systems of equations containing three variables.
John received an inheritance of $12,000 that he divided into three parts and invested in three ways: in a money-market fund paying 3% annual interest; in municipal bonds paying 4% annual interest; and in mutual funds paying 7% annual interest. John invested $4,000 more in municipal funds than in municipal bonds
We will solve this and similar problems involving three equations and three variables in this section. Doing so uses similar techniques as those used to solve systems of two equations in two variables
Solving Systems of Equations 
There are three ways to solve a system of linear equations: graphing, substitution, and elimination.. The solution to a system of linear equations is the ordered pair (or pairs) that satisfies all equations in the system
Lines that cross at a point (or points) are defined as a consistent system of equations. The place(s) where they cross are the solution(s) to the system.
They are an example of an inconsistent system of equations. An inconsistent system of equations has no solution.
Solving Systems of Three Variables 
· Solve a system of equations when no multiplication is necessary to eliminate a variable.. · Solve a system of equations when multiplication is necessary to eliminate a variable.
· Recognize systems that have no solution or an infinite number of solutions.. You are going to look at equations with three variables
Equations with one variable require only one equation to have a unique (one) solution. Equations with two variables require two equations to have a unique solution (one ordered pair)
Linear regression analysis in Excel 
The tutorial explains the basics of regression analysis and shows a few different ways to do linear regression in Excel.. Imagine this: you are provided with a whole lot of different data and are asked to predict next year’s sales numbers for your company
But how do you know which ones are really important? Run regression analysis in Excel. It will give you an answer to this and many more questions: Which factors matter and which can be ignored? How closely are these factors related to each other? And how certain can you be about the predictions?
Dependent variable (aka criterion variable) is the main factor you are trying to understand and predict.. Independent variables (aka explanatory variables, or predictors) are the factors that might influence the dependent variable.