Question

2x+3 x
-----=---
4 4
Can someone explain the steps for this

Answer 1

Cross multiply, what do you get?

Answer 2

You could also multiply the value of (4) to both sides to get rid of the 4 in the denominators in both sides
leaving the equation to just be
2x +3 = x

Answer 3

This is a proportion, so you cross multiply
(2x + 3)/4 = x/4
(4)(x) = (4)(2x + 3)
4x = 8x + 12
4x - 8x = 12
-4x = 12
x = -3

check...
(2x + 3)/4 = x/4
(2(-3) + 3)/4 = -3/4
(-6 + 3)/4 = -3/4
-3/4 = -3/4 (correct)

x = -3

Answer 4

thank you

Answer 5

do you have any questions ?

Answer 6

@texaschic101 so when you have two fractions with the same denominators what mean this ?

Answer 7

If they are equal to each other like
\[\huge \frac{ 2x+3 }{ 4 } = \frac{ x }{ 4 }\]
Then the numerators are equal to each other
You can eliminate the denominators because:
\[\huge 4 \times \frac{ 2x +3 }{ 4 } = \frac{ x }{ 4 } \times 4\]
\[\huge 2x + 3 = x\]

Answer 8

I should say if they are equal to each other and have the same denominator*

Answer 9

nice @shamil98 but do it till the end

Answer 10

so than x= ?

Answer 11

x=-3

or not ?

Answer 12

I did it a little different......but the answer will be the same. I crossed multiplied, and then distributed through the parenthesis, then solved for x.

Answer 13

yeah x is still -3
i just reduced it.