Tereasa Brasher asked, updated on February 5th, 2021; Topic:
infinite solutions

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**If** we end up with the same term on both sides of the equal sign, such as 4 = 4 or 4x = 4x, then we have **infinite solutions**. **If** we end up with different numbers on either side of the equal sign, as in 4 = 5, then we have no **solutions**.

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Although, how do you tell if an equation has one infinite or no solutions?

So, how do you find out how many solutions an equation has? The total number of **solutions** should equal the highest exponent in the binomial: one **solution** for x, two **solutions** for x^2, or three **solutions** for x^3. Some binomials have repeat **solutions**. For example, the **equation** x^4 + 2x^3 = x^3(x + 2) **has** four **solutions**, but three are x = 0.

Anywho, which systems of equations have infinite solutions?

If a **system has infinitely** many **solutions**, then the lines overlap at every point. In other words, they're the same exact line! This means that any point on the line is a **solution** to the **system**. Thus, the **system of equations** above **has infinitely** many **solutions**.

Is 0 0 infinite or no solution?

For an answer to have an **infinite solution**, the two equations when you solve will equal **0=0** . ... If you solve this your answer would be **0=0** this means the problem has an **infinite** number of **solutions**. For an answer to have **no solution** both answers would not equal each other.

quadratic equation

1 Expert Answer If the elimination produces the **equation 0=0**, then the two **equations** are for the same line. This means that there are an infinite number of solutions.

When a problem has **no solution** you'll end up with a statement that's false. For **example**: 0=1 This is false because we know zero can't equal one. Therefore we can conclude that the problem has **no solution**. You can solve this as you would any other equation.

Solving Equations in **One** Variable A **solution** to an equation is a number that can be plugged in for the variable to make a true number statement. 3(2)+5=11 , which says 6+5=11 ; that's true! So 2 is a **solution**.

In this case, each point on the line is a **solution**. If there are infinitely many **solutions** of the given pair of linear equations, the equations are called dependent (consistent). If the lines are parallel, there is **no solution** for the pair of linear equations.

symbol Ø

In short, the multiplicative identity is the number **1**, because for any other number x, **1***x = x. So, the reason that any number to the zero power is **one** is because any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, **1**.

A quadratic **equation** has **two solutions**. Either **two** distinct real **solutions**, one **double** real **solution** or **two** imaginary **solutions**.

A system has **infinitely many solutions** when it is consistent and the number of variables is more than the number of nonzero rows in the rref of the matrix. For example if the rref is has **solution** set (4-3z, 5+2z, z) where z can be any real number.

Answer. Answer: **An** independent system **has** exactly **one solution** pair (x,y) . The point where the two lines intersect is the **only solution**.

It is called the **Discriminant**, because it can "discriminate" between the possible types of answer: when b2 − 4ac is positive, we get two Real solutions. when it is zero we get just ONE real solution (both answers are the same) when it is negative we get a pair of Complex solutions.

real numbers

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