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Solution a.k.a. the coordinate point where the two lines cross/intersect. Example
Solve system by elimination method~
Y= 5x+3
Y= 10x+17
Multiply top by -2.
You now have~
Y=-10x+(-6)
Y=10x+17
********Y= 11(this is the "y" of your end solution)
Now plug 11 into y on either equation (I chose the first one)
11=5x+3
-3 -3
8=5x
÷5 ÷5
********1.6=x (this is the x of your end solution)
So in conclusion, your SOLUTION (the thing you solved this whole system of equations for) is:
(1.6, 11)
*it is written as a coordinate graph point (x, y).
Hope this helps, regards, Ryan S. :)
What else can I help you with?
What is the first step in solving a system of nonlinear equations by substitutions?
In general, a system of non-linear equations cannot be solved by substitutions.
Who discovered solving linear system equations by using matrices?
Arthur Cayley
Which is most likely the first step in solving a system of nonlinear equations by substitution APEX?
Isolating a variable in one of the equations.
How did the system of equations develop?
The system of equations developed from the early days with ancient China playing a foundational role. The Gaussian elimination was initiated as early as 200 BC for purposes of solving linear equations.
Why is it the graphing method is the least reliable method in solving system of linear equations?
putang ina nyu
What is the definition of a linear system and how does it relate to solving equations with multiple variables?
A linear system is a set of equations where each equation is linear, meaning it involves variables raised to the power of 1. Solving a linear system involves finding values for the variables that satisfy all the equations simultaneously. This process is used to find solutions to equations with multiple variables by determining where the equations intersect or overlap.
What does it mean to solve a system of quadratic equations?
Solving a system of quadratic equations involves finding the values of the variables that satisfy all equations in the system simultaneously. This typically requires identifying the points of intersection between the curves represented by the quadratic equations on a graph. The solutions can be real or complex numbers and may include multiple pairs of values, depending on the nature of the equations. Techniques for solving these systems include substitution, elimination, or graphical methods.
What do you call finding the value of the variables that make equations true?
Solving the equation.
What is solving equations about?
It is about finding a value of the variable (or variables) that make the equation a true statement.
What is a method for solving a system of linear equations in which you multiply one or both equations by a number to get rid of a variable term?
It is called solving by elimination.
What is the first step in solving a system of nonlinear equations by substitutions?
In general, a system of non-linear equations cannot be solved by substitutions.
Which is most likely the last step in solving a system of non-linear equations by substitution?
The last step in solving a system of non-linear equations by substitution is typically to substitute the value obtained for one variable back into one of the original equations to find the corresponding value of the other variable. After finding both values, it's important to check the solutions by substituting them back into the original equations to ensure they satisfy both equations. This verification confirms the accuracy of the solutions.
When solving a system of equations by graphing how is the solution found?
The solution is the coordinates of the point where the graphs of the equations intersect.
What is the purpose and functionality of the MATLAB backslash command in solving linear systems of equations?
The MATLAB backslash command () is used to efficiently solve linear systems of equations by performing matrix division. It calculates the solution to the system of equations by finding the least squares solution or the exact solution depending on the properties of the matrix. This command is particularly useful for solving large systems of linear equations in a fast and accurate manner.
What is the first step in solving the following system of equations by substitution?
The first step is to show the equations which have not been shown.
Who discovered solving linear system equations by using matrices?
Arthur Cayley
Which is most likely the first step in solving a system of nonlinear equations by substitution APEX?
Isolating a variable in one of the equations.
