Math Problem With Infinite Solutions

If you multiply line 1 by 5 you get the line 2.

Math problem with infinite solutions. We first combine our like terms. Consider the equation 25x 35 5 5x 4 55. An infinite solution can be produced if the lines are coincident and they must have the same y intercept. So if you have 5x 8 on the left you need 5x 8 on the right for everything to cancel and end up with 0 0.

It means that if the system of equations has an infinite number of solution then the system is said to be consistent. Otherwise if you divide the line 2 by 5 you get line 1. We have 35 35 which is a true statement it will be true for any value of the variable x. Hence the given linear equation has infinite solutions or the number of solutions.

On solving we have 25x 35 25x 20 55 or 25x 35 25x 35. In this case the problem has infinite solutions which means there s not enough information to find a single solution. Systems of equations can be used to solve many real world problems. Hence a system will be consistent if the system of equations has an infinite number of solutions.

In this video we solve a problem about a vegetable farmer. The two lines having the same y intercept and the slope are actually the exact same line. 5y 5x 15. Let s see what happens when we solve it.

We see two x terms. In simpler words we can say that if the two lines are sharing the same line then the system would result in an infinite solution. Y x 3 5y 5x. The equation 2 x 3 x x 3 is an example of an equation that has an infinite number of solutions.

For example consider the following equations. In this case the idea is that you have to create something that makes both the right side of the equation and the left side to be equal to each other which gives you an infinite number of solutions. As an example consider the following two lines.