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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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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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

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

Simultaneous equations can be solved using the elimination method.

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.

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.

What is the answer of 4x2plus9equal12x?

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

What is Simultaneous Equations?

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

Who found the quadratic formula?

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

Can Quadratic equations that can be solved using the quadratic formula also be solved by factoring?

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.

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.

Can all quadratics be solved by completing the square?

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

What does it mean in algebra to complete the square?

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.

Can 5x2 plus 2x-4 equals 2x2 be solved using the quadratic formula?


What is the history of quadratic equations?

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

How do use substitution when solving system of equations?

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.

What is -x plus 3y6 and x plus 3y18 solved by substitution?

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

Can anyone help with this problem solve Quadratic problem 3x2 4X -2 0?

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

What is the point of intersection between the lines y equals 4x -1 and 3y -8x plus 2 equals 0?

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.

Is it true or false that when using substitution is it best to start by solving the second equation for x?

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

Can rational equations steps to solving be eliminated or changed in any way?

Simultaneous equations can also be solved by substitution or graphically

Use addition or substitution to find the value of x for this set of equations for x - y equals 120 x plus y equals 150?

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

What is x2 plus 9x-3 equals 0?

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