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You can solve lineaar quadratic systems by either the elimination or the substitution methods. You can also solve them using the comparison method. Which method works best depends on which method the person solving them is comfortable with.

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12y ago

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Related Questions

What can systems of equations be solved by?

By elimination or substitution


IF you need to solve large systems with more than three variables which method is more efficient and why?

For systems with more than three equations, Gaussian elimination is far more efficient. By using Gaussian elimination we bring the augmented matrix into row-echelon form without continuing all the way to the reduced row-echelon form. When this is done, the corresponding system can be solved by the back-substitution technique.


What part of the a quadratic formula tells you when the quadratic equation can be solved by factoring?

The discriminant


What is the quadratic formula for?

The quadratic formula is used to solve the quadratic equation. Many equations in which the variable is squared can be written as a quadratic equation, and then solved with the quadratic formula.


What is equadtratic equation?

A quadratic equation normally has 2 solutions and can be solved by using the quadratic equation formula.


What are the similarities and difference of substitution method and linear combinations method?

Both the substitution method and the linear combinations method (or elimination method) are techniques used to solve systems of linear equations. In the substitution method, one equation is solved for one variable, which is then substituted into the other equation. In contrast, the linear combinations method involves adding or subtracting equations to eliminate one variable, allowing for the direct solution of the remaining variable. While both methods aim to find the same solution, they differ in their approach to manipulating the equations.


How an algebric expression with quadratic denominator is solved?

Algebraic expressions can't be solved because they are not equations but they can be simplified.


The ELIMINATION method performs operations on a system of equations to?

Simultaneous equations can be solved using the elimination method.


What are the methods to solve a system of equations?

There are several methods to solve a system of equations, including the substitution method, where one equation is solved for one variable and substituted into the other; the elimination method, which involves adding or subtracting equations to eliminate a variable; and graphical methods, where the equations are represented as lines on a graph and the intersection point(s) represent the solution. Additionally, matrix methods, such as using the inverse of a matrix or row reduction (Gaussian elimination), can also be employed for larger systems. Each method has its advantages depending on the specific system being solved.


What type of quadratic equation cannot be solved using the quadratic formula?

All quadratic equations can be solved using the quadratic formula, which is applicable to any equation in the standard form ( ax^2 + bx + c = 0 ), where ( a \neq 0 ). However, if the equation does not fit this standard form—such as if it is not a polynomial, if it contains non-numeric coefficients, or if it is missing the ( x^2 ) term (making it linear instead)—then it cannot be solved using the quadratic formula.


Which method would be best for solving the system x 8y plus 5 and 3x - 2y 11?

If you mean: x = 8y+5 and 3x-2y = 11 then the simultaneous equations can be solved by a process of elimination. -------------------- Since the first equation is solved for x, substitution should be easy. There is no "right" answer to this question - it depends on your taste and experience.


What does quadratic formula find?

When an equation cannot be solved for "x" to find the zeroes, the quadratic formula can be used instead for the same purpose.