Question

three-fourths of a number is 8. what is the number?

Answer 1

let the number be 'x'

\[(3/4)x=8\]
now solve for x

Answer 2

32/3=x

Answer 3

you can use a cross-multiply rule here,
so (3/4)x = 8
3x = 32
x = 32/3

Answer 4

how do you solve for x?

Answer 5

When solving for unknowns in the equations we do the inverse operation.

For example:

50x = 100
Would you agree if we added 50 to both sides of the equations, the equation would be equal?

50 + 50x = 150

What if we take back away the 50?

50x = 100

What if we divide by 50 from both sides?

50x/50 = 100/50
we find that x = 2

Does this make sense?
This is how we solve for unknowns in linear equations, with one unknown.

Answer 6

\[\frac{3}{4}x=8 \]

to get x by itself we have to look to see what we have to undo

notice x is being divided by 4 so multiply both sides by 4

\[4 \cdot \frac{3}{4}x=8 \cdot 4\]

3x=32

now notice x is being multiplied 3 4 so we must divide by 3


\[\frac{\not{3}x}{\not{3}}=\frac{32}{3}\]

Answer 7

that is suppose to say:

now notice x is being multiplied 3 so we must divide by 3