[(y+4)/(y+7)]+1=(y+3)/(y+1)

Question

30-05-2017
Mathematics

contestada

[(y+4)/(y+7)]+1=(y+3)/(y+1)

Respuesta :

Otras preguntas

Accepted by three universities, Shaniqua is now having difficulty deciding which to attend. She decides to ask her friend Maria for her help. Maria listens inte

Which of the following formulas would find the lateral area of a right cylinderwith height equal to hand ras the radius?O A. LA = 2πr2O B. LA = 2πrO C. LA = 2πr

A 0.280 m radius, 475 turn coil is rotated one-fourth of a revolution in 4.17 ms, originally having its plane perpendicular to a uniform magnetic field. (This i

The oxygen consumption (in milliliter per pound per minute) for a person walking at x mph is approximated by the function f(x)=\frac{5}{3} x^{2}+\frac{5}{3} x+1

Put'er There manufactures baseball gloves. Each glove requires $22 of direct materials and $18 of direct labor. Variable manufacturing overhead cost is $7 per u

Recall that the voltages VL(t) and VC(t) across the inductor and capacitor are not in phase with the respective currents IL(t) and IC(t). In particular, which o

Select the correct answer. Which phrase best defines characterization? A. the way an author describes the conflict a character experiences B. the way in which a

Please help me.. ty if you do Chloe is studying the effect a certain kind of fungus has on bacteria. Which of the following could be her hypothesis? "I notice t

A company's flexible budget for 13,200 units of production showed sales, $54,120; variable costs, $21,120; and fixed costs, $18,000. The operating income expect

What is the circumference of a circle whose diameter is 4.8 cm? Use 3.14 for TT. 7.536 cm 10.154 cm 15.072 cm 30.144 cm

ACCESS MORE

irspow irspow · Answer 1 · 2017-05-30T19:37:15+02:00

First note that y cannot equal -7 or -1 as division by zero is undefined. So that if it comes up in our solution we know that it is not a real solution.

[(y+4)/(y+7)]+1=(y+3)/(y+1) make the left side have a common denominator

(y+4+y+7)/(y+7)=(y+3)/(y+1) combine like terms on left side

(2y+11)/(y+7)=(y+3)/(y+1) cross multiply

(2y+11)(y+1)=(y+3)(y+7) expand

2y^2+13y+11=y^2+10y+21 subtract y^2 from both sides

y^2+13y+11=10y+21 subtract 10y from both sides

y^2+3y+11=21 subtract 21 from both sides

y^2+3y-10=0 expand so factoring is easier

y^2-2y+5y-10=0 factor

y(y-2)+5(y-2)=0 which is equal to

(y+5)(y-2)=0

y=-5 or 2