solve by using the properties of equality:
4x - 18 = 65
wouldn't x = 7
no
how did you get x=7 ?
4x - 18 = 65
add 18 to both sides
4x - 18 + 18 = 65 + 18
4x = 83
divide both sides by 4
x = 83/4 (not even anywhere close to 7)
i thought that it would be 7 because when i subtracted 18 from 65 i got 47 and 7 was missing from 4x
The interpretation of 4 and x in the expression "4x" as digits is used occasionally in mathematics, but more an exception than the rule.
In algebra, the multiplication sign is omitted when we multiply together two mathematical symbols or a number and a mathematical symbol.
For example,
xy is the same as x*y, and
4z equals 4*z.
It's the same principle as when we say 3 apples meaning 3 times the apples.
However, when we deal with two numbers, the multiplication sign is obligatory.
Oh, okay, thank you for explaining it to me.
To solve this equation using the properties of equality, we need to isolate the variable x.
Step 1: Start with the given equation:
4x - 18 = 65
Step 2: Add 18 to both sides of the equation to isolate the term with x:
4x - 18 + 18 = 65 + 18
4x = 83
Step 3: Divide both sides of the equation by 4 to solve for x:
(4x)/4 = 83/4
x = 20.75
So, the solution to the equation 4x - 18 = 65 is x = 20.75.