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
8n - 9 = 17
2n-4
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 ]
It is an inequality in the single variable, x.
The number works out as 14
8n - 9 = 17
2n-4
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.
Translate this phrase into an algebraic equation The product of two consecutive multiple of three integers?
The equation can be written as 2x * 8 - 4, where x is the number.
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.
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.