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How do you know when an equation has an infinite amount of solutions?
Wiki User
∙ 14y ago
If the equation is an identity.
Wiki User
∙ 14y ago
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How do you know if a quadratic equation will have whether or not it will have solutions?
Factorise it!
How do you know when a equation has an infinte number of solutions?
-- A single equation with more than one variable in it has infinitely many solutions. -- An equation where the variable drops out has infinitely many solutions. Like for example x2 + 4x -3 = 0.5 (2x2 + 8x - 6) As mean and ugly as that thing appears at first, you only have to massage it around for a few seconds to get -3 = -3 and that's true no matter what 'x' is. So any value for 'x' is a solution to the equation, which means there are an infinite number of them.
2y - 12x equals -6?
2y-12x=-6 is the equation of a line. It has infinite number of solutions which are all the points one the line. We can rewrite the equation as 2y=12x-6 and then divide both sides by 2.This gives us y=6x-3. From this we know the equation describes a line with y intercept -2 and slope 6.
How do you know if a systems of equations have infinitely many solutions?
If there are less distinct equations than there are variables then there will be an infinite number of solutions.For example, you may have 3 equations with 3 unknowns, but if one of those equations is a multiple of another there there are only 2 distinct equations:2x + 3y + 5z = 1x + y - 2z = 104x + 6y + 10z = 2Equation (3) here is twice equation (2) so there are effectively only 2 distinct equations for 3 unknowns and thus there will be an infinite number of solutions. If any two equations are parallel then there is no solution; if equation (3) above was 2x + 3y + 5z = 2, then there are no solutions - subtracting equation 1 from (the new) equation 3 would result in 0 = 1 which is nonsense.
What is 2n plus 14?
This equation has no value, as the value of n could be anything, giving this equation an infinite number of answers. To answer this equation, you either need to know what n is, or have an equals sign.
When you solve equation describe how you know when there will be a infinite solutions?
If the solution contains one variable which has not been fixed then there are infinitely many solution.
How do you know when an algebraic equation has infinitely many solutions?
A system of equations has an infinite set of solutions when the equations define the same line, such that for ax + by = c, the values for two equations is a1/a2 + b1/b2 = c1/c2. Equations where a variable drops out completely, e.g. 3x - y = 6x -2y there are either an infinite number of solutions, or no solution at all.
How do you know if a quadratic equation will have whether or not it will have solutions?
Factorise it!
How do you know when an equation has infinite answers?
say system of equation is as follows a1x + b1y = c1 a2x + b2y = c2 if a1/a2 = b1/b2 = c1/c2 equation will have infinite answers
How do you know when a equation has an infinte number of solutions?
-- A single equation with more than one variable in it has infinitely many solutions. -- An equation where the variable drops out has infinitely many solutions. Like for example x2 + 4x -3 = 0.5 (2x2 + 8x - 6) As mean and ugly as that thing appears at first, you only have to massage it around for a few seconds to get -3 = -3 and that's true no matter what 'x' is. So any value for 'x' is a solution to the equation, which means there are an infinite number of them.
How do you know when an equation has infinitely many solutions or no solution?
They Are infinitely many solutions for an equation when after solving the equation for a variable(let us suppose x),we get the expression 0 = 0. Or Simply L.H.S = R.H.S For Ex. x+3=3+x x can have any value positive or negative, rational or irrational, it doesn't matter the sequence will be infinite. And No Solutions when after solving the equations the expression obtained is unequal For Ex. x+3=x+5 for every value of x, The Value in L.H.S And R.H.S. will differ. Hence It Has No Solutions.
How many stars are there in the world?
An infinite amount (we don't know for sure).
How would you know that your equation has infinite solutions without actually solving it?
In some cases, a knowledge of the function in question helps. For example, when you have multiple equations, if you have more equations than variables you will usually have infinite solutions. Another example is that certain functions are known to be periodic, for instance the trigonometric functions - so an equation such as sin(x) = 1/2 may have infinite solution, due to the periodicity.
2y - 12x equals -6?
2y-12x=-6 is the equation of a line. It has infinite number of solutions which are all the points one the line. We can rewrite the equation as 2y=12x-6 and then divide both sides by 2.This gives us y=6x-3. From this we know the equation describes a line with y intercept -2 and slope 6.
How would you know that your equation has no solutions without actually solving it?
It really depends on the type of equation. Sometimes you can know, from experience with similar equations. But in many cases, you have to actually do the work of trying to solve the equation.
How do you know if a systems of equations have infinitely many solutions?
If there are less distinct equations than there are variables then there will be an infinite number of solutions.For example, you may have 3 equations with 3 unknowns, but if one of those equations is a multiple of another there there are only 2 distinct equations:2x + 3y + 5z = 1x + y - 2z = 104x + 6y + 10z = 2Equation (3) here is twice equation (2) so there are effectively only 2 distinct equations for 3 unknowns and thus there will be an infinite number of solutions. If any two equations are parallel then there is no solution; if equation (3) above was 2x + 3y + 5z = 2, then there are no solutions - subtracting equation 1 from (the new) equation 3 would result in 0 = 1 which is nonsense.
What is 2n plus 14?
This equation has no value, as the value of n could be anything, giving this equation an infinite number of answers. To answer this equation, you either need to know what n is, or have an equals sign.
