I cant get the equation.
Problem: The product of twice a number and three is the same as the difference of five times the number and 3/4. Find the number
Hello, FiyWonOhh!
If we're careful, we can translate the words directly into Algebra.
The product of twice a number and 3 is the same as the difference of 5 times the number and 3/4.
Find the number.
Let $\displaystyle x$ = the number.
$\displaystyle \underbrace{\text{ product of twice a number and 3 }}\;\underbrace{\text{ is the same as }}$ $\displaystyle \underbrace{\text{ the difference of 5 times the number and 3/4 }}$
. . . . . . . .$\displaystyle (2x)\cdot 3$. . . . . . . . . . . . . .$\displaystyle = $ . . . . . . . . . . . . . . . .$\displaystyle 5x \;- \;\frac{3}{4}$
And there is our equation! $\displaystyle \hdots\quad 6x \;=\;5x - \frac{3}{4}$