Linear Equations With Infinite Solutions Math

An infinite solution has both sides equal.

Linear equations with infinite solutions math. 15 x 15 x 144 15 x 15 x 144. So an equation with infinitely many solutions essentially has the same thing on both sides no matter what x you pick. Solve the following equations to determine if there is one solution infinitely many solutions or no solution. Y 2x 1.

Then follow the instructions to make a graph. An infinite solution can be. If a pair of the linear equations have unique or infinite solutions then the system of equation is said to be a consistent pair of linear equations. Subtracting 15 x from both sides.

If you simplify the equation using an infinite solutions formula or method you ll get both sides equal hence it is an infinite solution. Infinite represents limitless or unboundedness. Although systems of linear equations can have 3 or more equations we are going to refer to the most common case a stem with exactly 2 lines. Thus suppose we have two equations in two variables as follows.

An equation will produce an infinite solution if it satisfies some conditions for infinite solutions. Give examples of linear equations in one variable with one solution infinitely many solutions or no solutions. Conditions for infinite solution. How many solutions can systems of linear equations have.

More math lessons for grade 8 examples solutions videos and lessons to help grade 8 students learn how to solve linear equations in one variable. Consider the equation 15 x 9 24 x 9 9 x 126 solving we have 15 x 144 24 x 9 9 x 126 or 15 x 144 15 x 144. X 7 2 x x 9. It is usually represented by the symbol.

We re asked to use the drop down to form a linear equation with infinitely many solutions. For example the following systems of linear equations will have infinitely many solutions. An equation can have infinitely many. A system of linear equations has infinitely many solutions if the lines have the same slope and the same y intercept.

There can be zero solutions 1 solution or infinite solutions each case is explained in detail below. Notice how the slope is the same and how the y intercept is the same. A 1 x b 1 y c 1 1 a 2 x b 2 y c 2 2 the given equations are consistent and dependent and have infinitely many solutions if and only if a 1 a 2 b 1 b 2 c 1 c 2 conditions for infinite solution. So first my brain just wants to simplify this left hand side a little bit and then think about how i can engineer the right hand side so it s going to be the same as the left no matter what x i pick.