How many solutions are there to the equation x?

The equation x = x has infinitely many solutions: any value of x will work, since x is always equal to itself. The equation y2 = -5 has no real number solutions because the square of any real number is positive.

How many solutions does x 3 have?

one solution
If solving an equation yields a statement that is true for a single value for the variable, like x = 3, then the equation has one solution.

How many solutions does this system of equation have?

A system of two equations can be classified as follows: If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.

How many solutions linear equations have?

A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line).

How many solutions are there to the equation x1 + x2 + x3+x4?

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What is an example of an equation with exactly one solution?

Examples. Example 1 : In the linear equation given below, say whether the equation has exactly one solution or infinitely many solution or no solution. 4x – 3 = 2x + 13. Solution : 4x – 3 = 2x + 13. Add 3 to both sides.

How do you solve 4(8) – 3 = 2(8 + 13)?

Add 3 to both sides. Subtract 2x from each side. Divide each side by 2. Substitute x = 8 in the given equation. 4 (8) – 3 = 2 (8) + 13?

How do you solve a linear equation with exactly one solution?

In the linear equation given below, say whether the equation has exactly one solution or infinitely many solution or no solution. Add 3 to both sides. Subtract 2x from each side. Divide each side by 2. Substitute x = 8 in the given equation. 4 (8) – 3 = 2 (8) + 13? 32 – 3 = 16 + 13? Substitute some other value for x, say x = 10.