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solve system equation using addition method 3x-y=9 2x+y=6

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Q: How do you solve each system by the addition method?
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How would you know if a linear system has a solution?

One way is to look at the graphs of these equations. If they intersect, the point of intersection (x, y) is the only solution of the system. In this case we say that the system is consistent. If their graphs do not intersect, then the system has no solution. In this case we say that the system is inconsistent. If the graph of the equations is the same line, the system has infinitely simultaneous solutions. We can use several methods in order to solve the system algebraically. In the case where the equations of the system are dependent (the coefficients of the same variable are multiple of each other), the system has infinite number of solutions solution. For example, 2x + 3y = 6 4y + 6y = 12 These equations are dependent. Since they represent the same line, all points that satisfy either of the equations are solutions of the system. Try to solve this system of equations, 2x + 3y = 6 4x + 6y = 7 If you use addition or subtraction method, and you obtain a peculiar result such that 0 = 5, actually you have shown that the system has no solution (there is no point that satisfying both equations). When you use the substitution method and you obtain a result such that 5 = 5, this result indicates no solution for the system.


Each number below is a solution of the inequality 2x plus 3 and gt7 EXCEPT?

I don't see any numbers below.One method to solve this is to replace each of the numbers in the inequality, do the calculations, and then check whether the inequality is satisfied. Another method is to get the general solution for the inequality, then check with each of the numbers.


What does it mean to solve a system of linear equations?

Find values for each of the unknown variables (or at least as many as is possible for the system) that satisfy all the equations.


What is the situation when two linear inequalities have no common solution?

To solve a system means to find the x- and y-values for which both of the equations are true. Systems of linear equations can be solved using a variety of methods. One method is to graph the equations as two lines and examine them. If the lines intersect at exactly one point, there is one solution to the system, and the system is called consistent. If the two lines are on top of one another, there are an infinite number of solutions, because each point on the line is considered a solution (this system is called dependent). If the two lines are parallel, there is no solution (this system is called inconsistent). To solve a system means to find the x- and y-values for which both of the equations are true. Systems of linear equations can be solved using a variety of methods. One method is to graph the equations as two lines and examine them. If the lines intersect at exactly one point, there is one solution to the system, and the system is called consistent. If the two lines are on top of one another, there are an infinite number of solutions, because each point on the line is considered a solution (this system is called dependent). If the two lines are parallel, there is no solution (this system is called inconsistent). To solve a system means to find the x- and y-values for which both of the equations are true. Systems of linear equations can be solved using a variety of methods. One method is to graph the equations as two lines and examine them. If the lines intersect at exactly one point, there is one solution to the system, and the system is called consistent. If the two lines are on top of one another, there are an infinite number of solutions, because each point on the line is considered a solution (this system is called dependent). If the two lines are parallel, there is no solution (this system is called inconsistent). To solve a system means to find the x- and y-values for which both of the equations are true. Systems of linear equations can be solved using a variety of methods. One method is to graph the equations as two lines and examine them. If the lines intersect at exactly one point, there is one solution to the system, and the system is called consistent. If the two lines are on top of one another, there are an infinite number of solutions, because each point on the line is considered a solution (this system is called dependent). If the two lines are parallel, there is no solution (this system is called inconsistent).


Solving each system using the substotution method 2x equals 3y x equals 3y-3?

2x=3yx=3y-32(3y-3)=3y substitution6y-6=3y distributive property3y=6 addition property of equalityy=2 multiplication(division) property of equalityx=3(2)-3 substitutionx=6-3x=3

Related questions

What are the ways to solve a system of linear equations in two variables?

the substitution method in which you take each variable and you find out the value and then plug it into the original equation.the adding and subtracting method in which you subtract\add equations to take out a variable and you can figure out what the other variable is. then you also substitute that into that into the original variable


How do you solve each system by substitution or addition 2y-x equals 3 and x equals 3y-5?

Add the two equations together. The x disappears. 2y - x = 3 + x = 3y - 5 ------------------------ 2y = 3y -2 Can you finish it from there?


What two methods can you use when solving vector addition?

You can use the graphical method, which involves drawing vectors on a coordinate system and adding them tip-to-tail to find the resultant vector. Alternatively, you can use the component method, breaking each vector into its horizontal and vertical components and adding them separately to find the resultant vector.


How would you know if a linear system has a solution?

One way is to look at the graphs of these equations. If they intersect, the point of intersection (x, y) is the only solution of the system. In this case we say that the system is consistent. If their graphs do not intersect, then the system has no solution. In this case we say that the system is inconsistent. If the graph of the equations is the same line, the system has infinitely simultaneous solutions. We can use several methods in order to solve the system algebraically. In the case where the equations of the system are dependent (the coefficients of the same variable are multiple of each other), the system has infinite number of solutions solution. For example, 2x + 3y = 6 4y + 6y = 12 These equations are dependent. Since they represent the same line, all points that satisfy either of the equations are solutions of the system. Try to solve this system of equations, 2x + 3y = 6 4x + 6y = 7 If you use addition or subtraction method, and you obtain a peculiar result such that 0 = 5, actually you have shown that the system has no solution (there is no point that satisfying both equations). When you use the substitution method and you obtain a result such that 5 = 5, this result indicates no solution for the system.


Which separation we use to lose of homogenous and heterogeneous mixtures?

The method of separation is different for each system.


Each number below is a solution of the inequality 2x plus 3 and gt7 EXCEPT?

I don't see any numbers below.One method to solve this is to replace each of the numbers in the inequality, do the calculations, and then check whether the inequality is satisfied. Another method is to get the general solution for the inequality, then check with each of the numbers.


How is algebra used in enginerring?

one example is to solve for the forces in each part of a system/structure if it has an external force acting on it.


What is the name of the method of communication where dots and dashes are used to represent each letter of the alphabet?

The method of communication is called Morse code. Each letter of the alphabet is represented by a unique sequence of dots and dashes.


How do you solve queefing?

Do about a half hour of crunches each day. It gets rid of any stored up gas or air in your system.


To solve a system of inequalities graphically you just need to graph each inequality and see which points are in the overlap of the graphs?

True


What are the disadvantages and advantages of dynamic system development method?

Advantages of system development life cycle in terms of waterfall model it only requires minimal resources in implementing this method. But it is hard to go back and change.


What does it mean to solve a system of linear equations?

Find values for each of the unknown variables (or at least as many as is possible for the system) that satisfy all the equations.