I need an explaination for this.please help !
2007-08-31 15:41:48 · 7 answers · asked by ronamae 1 in Science & Mathematics ➔ Mathematics
The equation or a system of equations having infinite solutions is called identity/identities.
(a+b)^2=a^2+2ab+b^2 is an identity. It has infinite solutions. The equation is true for all values of a and b.
2007-08-31 15:47:48 · answer #1 · answered by Indian Primrose 6 · 1⤊ 0⤋
It means that all real numbers will fit the equations. If you have an equation like x+y = z, then the possibilities of this equation are endless. Even if we add two more equations to make a matrix, it is still possible. Sometimes in algebra we call it a "all real" solution. There is nothing wrong with the equation; it is only so simple that any number will satisfy it. But is also possible to have "no real" solutions. That means that after solving the equations you may end up with "2=1" type of answer. That means no number can solve the system. This is just another facet of mathematics that a system of equations opens up to a user. You probably wouldn't get infinite solutions in algebra from one equation very often.
2007-08-31 15:56:38 · answer #2 · answered by james w 5 · 1⤊ 0⤋
Infinite Solution
2016-10-04 12:51:38 · answer #3 · answered by ? 4 · 0⤊ 0⤋
It means that the equations of the line coincide with each other when they are graphed. Thus, there is infinite possible solutions that would satisfy the system of equations.
2007-08-31 15:48:22 · answer #4 · answered by ptolemy862000 4 · 0⤊ 0⤋
This Site Might Help You.
RE:
what does it mean if a system of equation has infinite solution?
I need an explaination for this.please help !
2015-08-07 04:23:19 · answer #5 · answered by Anonymous · 0⤊ 0⤋
The best way to visualize this is to know what the equations represent. If the given equations are for straight lines then the lines are on top of each other. if the given equations are for any other shape then the two shapes are identical and are on top of each other.
What happens in either case is any number you plug into the first equation works for the second and vice versa.
2007-08-31 15:51:23 · answer #6 · answered by 037 G 6 · 0⤊ 0⤋
Let me assumes you are talking with only two variables.
and the equations are all linear. ax + by = c
There are three possible ways to draw two lines
1, The two lines intercept. One possible solution
2. The two lines are parallel, they never meet, no solution
3. The two lines are the same, infinite soluntions
eg. 3x + 4y = 8 and 6x + 8y = 16 are the same, so it has inf solutions.
2007-08-31 15:59:12 · answer #7 · answered by norman 7 · 2⤊ 0⤋
There is a bit of problem with English here. "Infinite solutions" should be "infinitely many solutions". The term "infinite solution" may be misunderstood to mean "solutions of infinite magnitude".
2015-08-27 15:43:09 · answer #8 · answered by Surprised 1 · 0⤊ 0⤋