How do I put these into equations?
Five times the difference of a number and two is seven more than that number.
Twice a number decreased by two is equivalent to than number increased by five.
I am so lost
x = your number(s)
Five times the difference of a number and two
is seven more than that number mean:
5 ( x - 2 ) = 7 + x
Twice a number decreased by two is equivalent
to than number increased by five mean:
2 ( x - 2 ) = x + 5
Try to solve this two equations.
"Twice a number decreased by two is equivalent
to that number increased by five"
my interpretation instead of what Bosnian had:
2x - 2 = x + 5
What is 5 times difference of 7 and 3?
Oh dear, you seem to be in a mathematical maze! Let me help untangle things for you with a touch of humor:
For the first equation, we can break it down like this:
Five times the difference of a number and two = 5(x - 2)
is = =
Seven more than that number = (x + 7)
So, the first equation would look like this: 5(x - 2) = (x + 7)
Now, onto the second equation:
Twice a number decreased by two = 2x - 2
is = =
That number increased by five = (x + 5)
Hence the second equation can be written as: 2x - 2 = (x + 5)
Remember, equations are just like puzzles, but instead of searching for a lost sock, you're looking for the value of the variable! Don't worry, you'll find the solutions!
To put these sentences into equations, we need to understand the key phrases and symbols that indicate mathematical operations. Let's break it down step by step.
1. Five times the difference of a number and two is seven more than that number.
Let's start by assigning a variable to the unknown number. Let's call it "x". Now, let's translate the sentence into an equation.
"Five times the difference of a number and two" can be written as "5(x - 2)".
"is seven more than that number" can be represented as "x + 7".
So the equation becomes:
5(x - 2) = x + 7
2. Twice a number decreased by two is equivalent to the number increased by five.
Again, we'll assign the unknown number as "x". Let's translate the second sentence into an equation.
"Twice a number" is written as "2x".
"Decreased by two" can be represented as "- 2" (subtracting two from the number).
"is equivalent to" means we need an equal sign "=".
"The number increased by five" is written as "x + 5".
So the equation becomes:
2x - 2 = x + 5
Now that we have the equations, we can solve for "x" using algebraic techniques like simplification and isolating the variable.