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Q: Can quadratic systems be solved using elimination and substitution?

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By elimination or substitution

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.

The discriminant

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.

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

Simultaneous equations can be solved using the elimination method.

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

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

It is a quadratic equation and when solved it has equal roots of 3/2 or 1.5

Simultaneous equations are equations that have a specified number of variables that can be solved by substitution.

It comes from completing the square of a general quadratic. Many people believe Brahmagupta first solved this in 628 AD.

Yes, however not all quadratic equations can easily be solved by factoring, sometimes you can factor and sometimes it is easier to use the quadratic formula. Example: x2 + 4x + 4 This can be easily factored to (x + 2)(x +2) Therefore the answer is -2 by setting x +2 = 0 and solving for x This can be done using the quadratic equation and you would get the same results, however, it was much faster to factor instead.

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.

Completing the square is one method for solving a quadratic equation. A quadratic equation can also be solved by factoring, using the square roots or quadratic formula. Solving quadratic equations by completing the square will always work when solving quadratic equations-You can also use division or even simply take a GCF, set the quantities( ) equal to zero, and subtract or add to solve for the variable

A quadratic equation can be solved by completing the square which gives more information about the properties of the parabola than with the quadratic equation formula.

Yes

at first the first person to solve the quadratic equation is from the middle kingdom of Egypt. Greeks were also able to solve the quadratic equation but that was on the unproper way. Greeks were able to solve the quadratic equation by geometric method or equlid's method. equlid's method contains only three quadratic equation. dipohantus have also solved the quadratic equations but he have solved by giving only two roots any they both were only of positive signs.After that arbhatya also gave the two formulas for quadratic equation but the bentaguptahave only accepted only one of them after theat some of the Indian mathematican have also solved the quadratic equation who gave the proper definations and formula and in this way quadratic equation have been formed. Prabesh Regmi Kanjirowa National School

You use substitution when you can solve for one variable in terms of the others. By substituting, you remove one variable from the equation, which can then be solved. Once you solve for one variable, you can use substitution to find the other.

If you mean: -x+3y = 6 and x+3y = 18 then by substitution x = 6 and y = 4

If you mean 3x2+4x-2 = 0 then it can be solved by means of the quadratic equation formulla

The point of intersection of the given simultaneous equations of y = 4x-1 and 3y-8x+2 = 0 is at (0.25, 0) solved by means of elimination and substitution.

If it's a simultaneous equation in x and y variables then x or y may be solved before substitution.

Simultaneous equations can also be solved by substitution or graphically

X = 135 and y = 15 Solved by addition and substitution

It is a quadratic equation that can be solved by using the quadratic equation formula whereas x = -9.321825 or x = 0.321825 both given to 6 decimal places