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how many solutions does the equation have? 4x+1=5+2(2-4) a. one solution b. infinite solutions c. no solution

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3An identity equation has infinite solutions.

It will depend on the equation.

If the highest degree of an equation is 3, then the equation must have 3 solutions. Solutions can be: 1) 3 real solutions 2) one real and two imaginary solutions.

It has the following solutions.

If the discriminant of a quadratic equation is less then 0 then it will have no real solutions.

The quadratic equation will have two solutions.

you can find it by counting how many numbers they are in the equation

There are two distinct real solutions.

An equation can be determine to have no solution or infinitely many solutions by using the square rule.

They each typically have two solutions, a positive one and a negative one.

if a dependent system of equation is solved, how many solutions will there be?

As many solutions as there are points in the domain.

240 is not an equation and so the concept of solutions is meaningless.

The quadratic has no real solutions.

the maximum number of solutions to a quadratic equation is 2. However, usually there is only 1.

No. If an equation has many solutions, any one of them will satisfy it.

It has infinitely many solutions.

Yes and yes. eg x = y + 1 has an infinite number of solutions, and {sin(x) + cos(x) = 2} does not have a solution.

A quadratic equation can have either two real solutions or no real solutions.

Two distinct real solutions.

It will then have two equal real solutions

A single linear equation in two variables has infinitely many solutions. Two linear equations in two variables will usually have a single solution - but it is also possible that they have no solution, or infinitely many solutions.

0 = 0 is an identity and not an equation. Equations have solutions, identities do not.

Equations can have many solutions. The equation of a straight line, for example, defines all points on the line. Even a simple equation such as x+y=5 can have a variety of solutions (x=1 when y=4, x=2 when y=3 and so on)

An inconsistent equation (or system of equations) is one that has no possible solutions. That is precisely why we call it inconsistent; there is no solution set that can be substituted for its variable or variables that will make the equation (or system) true.

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