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Q: Number that makes an equation true?

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An identity is true for all values of the variable whereas an equation is true for only a finite number of values.For example,Identity: (x + 2)3 = x3 + 6x2 + 12x + 27 is true, whatever the value of x.ButEquation: x3 - x = 0 is true only when x = -1, 0 or 1.

X = 1st numberY = 2nd numberFacts given:X = 2Y (One number is equal to 2 times the second number)2X + 2Y = 20 (2 times the 1st number, plus 2 times the 2nd number is 20)Now we can easily find X and Y.We'll use a method called substitution to help us.Our first equation: X = 2Y is already solved for X. (it equals 2Y's!)So let's substitute x = 2y into the 2nd equation and find out what y is. Remember to use parenthesis!2x + 2y = 202(2y) + 2y = 204y + 2y = 206y = 20y = 20/6y = 10/3We found a number for Y, even though it is a fraction.Let's substitute it back into our 1st equation to figure out what x is.x = 2yx = 2(10/3)x = 20/3In order to check and see if x = 20/3 and y = 10/3, substitute both x and y into either equation. You pick!2x + 2y = 202(20/3) + 2(10/3) = 2040/3 + 20/3 = 2060/3 = 2020 = 20 (check)

It too will have a value of 5

In a trigonometric equation, you can work to find a solution set which satisfy the given equation, so that you can move terms from one side to another in order to achieve it (or as we say we operate the same things to both sides). But in a trigonometric identity, you only can manipulate separately each side, until you can get or not the same thing to both sides, that is to conclude if the given identity is true or false.

Without an equality sign it's not an equation but it can be simplified to: 7x-5

Related questions

Any number that makes an equation true is a 'solution of an equation'. it is a solution

The solution set is the answers that make an equation true. So I would call it the solution.

A solution or root makes a true statement when substituted in an equation.

The solution

It's callled the "solution" of the equation.

It is one of a set of solutions.

you have to solve the actual equation in order to answer this about your variable

not always but most of the time yes

The root of any equation is a number which ... when substituted for the variable ...makes the equation a true statement.

A number that makes an equation true is a solution. If there is more than one answer to an equation (such as an equation like): (x-2)(x+4)=0 then it is called a solution set (and in this case would be x={-4, 2}).

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.

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