An equation that is simplified to 0 0 is called a perfect equation. It usually have exactly one solution.
Normally it has two solutions but sometimes the solutions can be the same.
X = 8That equation has exactly one solution.The solution is:x = 8
No. A pair of linear equation can have 0 solutions (they are parallel), or one solution (they cross at one point) or an infinite number of solutions (they represent the same line).
It is 3, exactly as in the question.
That depends a lot on what exactly you want to check. For example:* You can check a division, by doing the corresponding multiplication. * You can check the solutions to an equation, by replacing the variable with the purported solution and doing the calculations.
It has no solution because without an equality sign it is not an equation.
The term "discriminant" is usually used for quadratic equations. If the discriminant is zero, then the equation has exactly one solution.
the solution is the answer to the equation. A solution is any value that makes the equation true. x + 2 = 10 has exactly one solution ....x=8 x + 2 > 10 has infinitely many solutions....x=9 or 10 or 11 or 12 or 13, etc
Normally it has two solutions but sometimes the solutions can be the same.
Yes, because the equation is linear, there is only one solution:4x - 3 = 12 +2x4x - 2x = 12 + 32x = 15x = 7.5There is no other solution
False, think of each linear equation as the graph of the line. Then the unique solution (one solution) would be the intersection of the two lines.
X = 8That equation has exactly one solution.The solution is:x = 8
No. A pair of linear equation can have 0 solutions (they are parallel), or one solution (they cross at one point) or an infinite number of solutions (they represent the same line).
1) When solving radical equations, it is often convenient to square both sides of the equation. 2) When doing this, extraneous solutions may be introduced - the new equation may have solutions that are not solutions of the original equation. Here is a simple example (without radicals): The equation x = 5 has exactly one solution (if you replace x with 5, the equation is true, for other values, it isn't). If you square both sides, you get: x2 = 25 which also has the solution x = 5. However, it also has the extraneous solution x = -5, which is not a solution to the original equation.
It is 3, exactly as in the question.
That depends a lot on what exactly you want to check. For example:* You can check a division, by doing the corresponding multiplication. * You can check the solutions to an equation, by replacing the variable with the purported solution and doing the calculations.
The solution to this is equivalent to solving the linear diophantine equation 2x+6y=7 It is known that this equation has a solution if and only if the gcd of (2,6) divides 7 Since (2,6)=2 and 2 does not divide 7 there is no solution and it cannot be done.