n - 5 = 8
I assume that you are referring to:x = 5 + nIf n is a negative number, x is less than 5.ANSWER: x is less than 5 ...[ x < 5 ]
The number works out as 14
2n-4
8n - 9 = 17
The general idea is to solve one of the equations for one variable - in terms of the other variable or variables. Then you can substitute the entire expression into another equation or other equations; as a result, if it works you should end up having one less equation, with one less variable.
I assume that you are referring to:x = 5 + nIf n is a negative number, x is less than 5.ANSWER: x is less than 5 ...[ x < 5 ]
The number works out as 14
2n-4
8n - 9 = 17
You can write an equivalent equation from a selected equation in the system of equations to isolate a variable. You can then take that variable and substitute it into the other equations. Then you will have a system of equations with one less equation and one less variable and it will be simpler to solve.
8<(4n+10)
The general idea is to solve one of the equations for one variable - in terms of the other variable or variables. Then you can substitute the entire expression into another equation or other equations; as a result, if it works you should end up having one less equation, with one less variable.
To write the equation for "twenty less than one fourth of the number is negative forty-five," let the number be represented by the variable ( x ). The phrase "one fourth of the number" translates to ( \frac{1}{4}x ). Therefore, the equation can be written as ( \frac{1}{4}x - 20 = -45 ).
If the number is n then twice the number is 2n and 7 less than twice the number is 2n - 7This could also be a boolean variable based on another variable. If the number is less than or equal to 3.5, the variable is false. Otherwise, it is true.
The relevant expression (not equation) is:2*(n + 8) - 4 or2n + 8 - 4
Let's represent the number as (x). The phrase "Eight less than five times a number" can be translated to (5x - 8), and "is seven more than the number" can be translated to (x + 7). Therefore, the algebraic equation representing the given phrase is (5x - 8 = x + 7).
That's exactly the purpose of the substitution method ... to get an equation with one less variable. When you have it, you solve it for the variable that's left.