math-calculus

posted by .

4x+3/2x-1-2 = 6x+2/2x-1

(4x+3)(-2) = (6x+2)
-8x-6 = 6x+2
-14x-6 = 2
-14x = 8
x = 4/-7

i not think i did this right.

• math-calculus -

do you mean

[ (4x+3)/(2x-1) ] - 2 = (6x+2)/(2x-1)

??????
If so please use parentheses so I can tell numerator from denominator.
If my guess is correct:
(4x+3) -2 (2x-1) = 6x+2

4x + 3 -4x + 2 = 6 x + 2
3 = 6 x
x = 1/2

• math-calculus -

sorry yes you are right but don't all 2x-1's cancel?

• math-calculus -

i think it supposed to be this
(4x+3)(-2) = (6x+2)

• math-calculus -

[ (4x+3)/(2x-1) ] - 2 = (6x+2)/(2x-1)

Multiply everything, all terms both sides including -2, by (2x-1)

[(4x+3)/(2x-1)](2x-1)-2(2x-1) = [(6x+2)/(2x-1) ] (2x-1)

You have to multiply that -2 by (2x-1) so the (2x-1) does not go away from the numerator when you clear it from the denominators.

so
(4x+3) -2 (2x-1) = 6x + 2

• math-calculus -

[(4x+3)/(2x-1)](-2) = (6x+2)/(2x-1)

if so then

-2(4x+3) = 6x+2

-8x - 6 = 6x + 2

-14 x = 8

x = -4/7

• math-calculus -

thank you but in back of book it say no solution so i very confused.

• math-calculus -

If my solution of x = 1/2 is correct (and I think it is'
Then indeed the answer is NO SOLUTION
because
2x-1 = 0 if x = 1/2

division by 0

• math-calculus -

I did not notice that, should have.

• math-calculus -

thank you so much i not notice that either. thanks :)

Similar Questions

1. MATH

explain how to put 7y-14x=21 in slope intercept form. You want y=mx + b 7y-14x=21 add 14x to both sides, divide both sides by 7. thanks you
2. Algebra2

The area of a square garden in square feet is 49x^2-14x+1. Find the dimensions of the garden in terms of x. x^2=49x^2-14x+1 Then solve for x. 48x^2-14x + 1=0 (8x-1)(6x-1)=0 and solve for two values of x that are possible.
3. Math - Derivatives

Differentiate the given function. Simplify the answer. f(x) = 28x*ln√x + 42 f'(x) = 28*ln(x)^(1/2) + (1/(x^(1/2))*(1/2(x)^(-1/2)28x) f'(x) = 28*ln(x)^(1/2) + (14x*x^(-1/2))/x^(1/2) f'(x) = 28*ln(x)^(1/2) + (14x^(-1/2))/x^(1/2) …
4. math

which equation is equivalent to 5x-2(7x+1)=14x?
5. algebra

solve the following equation by clearing fraction want to know if this right -7/3-5/2x=8+2x 6(-7/3)-(5/2)(6)=6(6)+2x(6) 14x-15=48+12x 14x-12x-15=48+14x-14x 2x-15=48 2x-15+15=48+15 2x=-33 2x/2x=-33/2 x=-33/2
6. algebra

solve the following equation by clearing fractions show all work want to know if this right -7/3-5/2x=8+2x 6(-2/3)-(5/2x)(6)=6(8)+2x(6) 14x-15=48+12x 14x-12x-15=48+14x-14x 2x-15=48 2x-15+15=48+14x-14x 2x-15=48 2x-15+15=48+15 2x=-33 …
7. calculus

take the limit as x goes to infinity: (14x/(14x+3))^(4x)
8. Maths

find the equation of the perpendicular bisector of the line joining P(2, -4) to Q(-5,1) A. 8y-14x 13=0 B. 8y-14x-13=0 C. 8y 14x-13=0 D. 8y 14x 13=0 Please I need someone to help me with this, with an explanatory workings.
9. Algebra

Is (5v+2) + 14x = 5v + (2+14x) an example of associative property of addition?
10. Algebra

Really need some help 1. 14x^2+4+3x-12x^2-3+11x A) 2x^2+7x+1 B) 2x^2+14x+1 C) 2x^2+14x+7 D) 26x^2+7x+7 2. 4x^2+4-5x+x-2x^2+8 A) -2x^2+4x+12 B) -2x^2-4x+12 C) 2x^2+4x+12 D) 2x^2-4x+12

More Similar Questions