Translating Words into Equations
We can translate words into numerical equations by replacing certain key words with numbers or operations:
- twice = multiply by 2
- difference = subtract
- a/the number = Let this be x
- sum = add
Solving the Question
We're given:
- Twice the difference of a number and 3 is equal to three times the sum of the number and 2
Translate into an equation:
- Twice the difference of a number and 3 is equal to three times the sum of the number and 2
⇒ [tex]2(x-3)=3(x+2)[/tex]
Solve for x:
[tex]2(x-3)=3(x+2)\\2x-6=3x+6\\-6=x+6\\x=-12[/tex]
Answer
x = -12
