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What is a linear equation that is not true for even one real number and therefor has no solution?
Wiki User
∙ 10y ago
A linear equation in one variable.
Case 1: A conditional equation: True only for a value of the variable.
Ex.
x + 2 = 3, True only when x is 1.
Case 2: Identity Equation: Always true.
Ex.
x + 2 = x + 2, True for any value of x.
Case 3:
x + 1 = x + 5, False for any value of x.
We call a solution any value of the variable that satisfies the equation, meaning if we replace the variable with that value, the equation becomes a true statement.
Example:
-2(x -3) = 8 - 2x
-2x + 6 = 8 - 2x (add 2x and subtract 6 to both sides)
0 = 2 False. Since this equation, which is equivalent to the original equation, is false, then the original equation is also false. Meaning, there is no real number for x that could satisfy the equation. So there is no solution to the equation.
Wiki User
∙ 10y ago
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What types of solutions can be found for linear equation?
A linear equation has a n infinite number of solutions. The coordinates of each point on the line is a solution.
A value that makes an equation true?
Any number that makes an equation true is a 'solution of an equation'. it is a solution
What is the last number in the pie equation?
Pi is not an equation. It is a number. And it's a non repeating, non terminating decimal. Therefor it goes on forever without ever repeating.
What is the number that makes an equation true called?
It's callled the "solution" of the equation.
Which equation has solution x -3?
The equation that has the solution x = -3, is, precisely:x = -3 If you want anything more fancy, you can add some number (the same number to both sides), multiply by some number (the same number to both sides), etc.
What types of solutions can be found for linear equation?
A linear equation has a n infinite number of solutions. The coordinates of each point on the line is a solution.
What is a solution of a linear equation called?
Ordered Pair * * * * * An ordered SET. There can be only one, or even an infinite number of variables in a linear system.
Can a pair of linear equation have exactly two solutions?
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).
What is A number that makes a equation true?
The solution set is the answers that make an equation true. So I would call it the solution.
Explain how you an determine if the number is a solution of an equation?
Substitute the number in the equation. If the resulting statement is true the number is a solution to the equation.
What is 5g plus 2 equals 4p-1?
It's a linear equation in two variables . . . 'g' and 'p'. The graph of this equation is a straight line. The coordinates of every point on the line are a solution of the equation. There are an infinite number of them.
What is the ordered pair of 19x plus 9y equals 69?
The solution set for a linear equation in two variables comprises an infinite number of ordered pairs, and these are defined by the equation that appears in the question!
A value that makes an equation true?
Any number that makes an equation true is a 'solution of an equation'. it is a solution
What is -7x-6 equals 29?
It's a linear equation in 'x'. The 'solution' of the equation is the number that 'x'must be in order to make it a true statement. A linear equation has exactly onesolution. You can find it like this:-7x - 6 = 29Add 6 to each side:-7x = 35Divide each side by -7 :x = -5
Number that makes an equation true?
A number that makes an equation true is its solution.
What is the word for a number that makes an equation true?
Solution. A solution of an equation is a number that satisfy the equation. This means that if you replace this number on the equation and check it, the equation will be true. When you solve an equation you can find some roots, but not all of them satisfy the equation. Thus always check your answers after resolving your equation, and eliminate as solution the answers that don't make the equation true or undefined.
When can you say that a number is called a solution in algebraic expression?
An algebraic equation or inequality can have a solution, an algebraic expression cannot. If substituting a number in place of a variable results in the equation or inequality being a true statement, then that number is a solution of the equation or inequality.
