How many solutions does an inconsistent system have?
A consistent system of equations has at least one solution, and an inconsistent system has no solution. Watch an example of analyzing a system to see if it’s consistent or inconsistent.
What is a consistent dependent equation?
Consistent Dependent: A system of linear equations is consistent dependent if it has an infinite number of solutions. When this is the case, the graphs of the lines in the system are the same, meaning the equations in the system represent the same line.
What does infinite solutions look like?
When a problem has infinite solutions, you’ll end up with a statement that’s true no matter what. For example: 3=3 This is true because we know 3 equals 3, and there’s no variable in sight. This means no matter what number you put in for the variable x, you will always get a number equaling itself.
How do you find the inconsistent equation?
To compare equations in linear systems, the best way is to see how many solutions both equations have in common. If there is nothing common between the two equations then it can be called as inconsistent. But it will be called consistent if any one ordered pair can solve both the equations.
What is the Y-Y value at x = 2x = 2?
The y y value at x = 2 x = 2 is − 2 – 2. Choose 0 0 to substitute in for x x to find the ordered pair. Tap for more steps… Replace the variable x x with 0 0 in the expression. Simplify the result. Tap for more steps… Divide 0 0 by 2 2. Subtract 3 3 from 0 0. The final answer is − 3 – 3. The y y value at x = 0 x = 0 is − 3 – 3.
How do you find the solutions to the equation 2×2-x-3?
To find equation solutions, solve 2x-3=0 and x+1=0. To find equation solutions, solve 2 x − 3 = 0 and x + 1 = 0. 2×2-x-3=0 Two solutions were found : x = -1 x = 3/2 = 1.500 Step by step solution : Step 1 :Equation at the end of step 1 : (2×2 – x) – 3 = 0 Step 2 :Trying to factor by splitting the
How do you solve x3 + 2 = 0?
Tap for more steps… Rewrite the equation as x 3 + 2 = 0 x 3 + 2 = 0. Subtract 2 2 from both sides of the equation. Multiply both sides of the equation by 3 3. Simplify both sides of the equation.
What is the formula to find x + y = 5?
Multiply 3 1 times − 2 y + 1 2. Substitute -\\frac {2y} {3}+4 for x in the other equation, x+y=5. Substitute − 3 2 y + 4 for x in the other equation, x + y = 5.