Answer:
-14x-1+4x=3
Step-by-step explanation:
it's all in the pic
Write and solve an equation to answer the question.
1 answer:
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Solving for a variable means to rewrite the equation so that the desired variable is alone on one side. So, we have to "move" all the other variables/constants in order to make this happen. We are allowed to add/subtract the same quantity from both sides, or to multiply/divide both sides by any non-zero number.
Let's start with the first example: we are given
11.
the variable is not alone on the right hand side because it is multiplied by
. We can reverse this by dividing both sides by
: the equation becomes
So, we have written the equation as , which means that
now sits alone on one side of the equation, and thus we have solved the equation for
!
Similarly, we do all the others:
12.
Subtract from both sides to get
13.
Subtract from both sides to get
Now divide both sides by to get
14.
Multiply both sides by 2:
Divide both sides by :
Answer:
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Explanation:
We have some number x such that x is a real number, so we write that as which is saying "x is in the real number set".
The portion is how x is restricted. This means x can be -5 or larger, but also must be smaller than 16.
This is from the interval notation [-5, 16). The square bracket means we include -5 as part of the interval, but we exclude 16 because of the curved parenthesis.
The curly braces surrounding everything indicates that we have a set of values.
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Side note:
If x is an integer, then we can get this roster set {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15} showing all of the integers between -5 and 16, including -5 but excluding 16.
Though chances are your teacher will want you to stick to real numbers rather than just integers.