$MathMaster logo$

MathMaster

Home
general
5x 6 3x 5 2 solution set

Question

(5x-6)/(3x-5) =2 solution set

135

likes

674 views

Answer to a math question (5x-6)/(3x-5) =2 solution set

$Expert avatar$

4.7

87 Answers

$\begin{array} { l }\frac{ 5x-6 }{ 3x-5 }=2,& x≠\frac{ 5 }{ 3 }\end{array}$

$5x-6=2\left( 3x-5 \right)$

$5x-6=6x-10$

$5x-6-6x=-10$

$5x-6x=-10+6$

$-x=-10+6$

$-x=-4$

$\begin{array} { l }x=4,& x≠\frac{ 5 }{ 3 }\end{array}$

$x=4$

Frequently asked questions (FAQs)

What is the equation of an ellipse with major axis 10 units, minor axis 6 units, centered at (0,0), and tilted 45 degrees?

+

Find the values of x in the domain of the trigonometric function f(x) = sin(3x) + cos(2x) - tan(x) where -π/4 ≤ x ≤ π/4

+

Question: What is the equation of the graph representing the logarithmic function y = log(base 2)(x) shifted 3 units to the right and 2 units up?

+

New questions in Mathematics

A normal random variable x has a mean of 50 and a standard deviation of 10. Would it be unusual to see the value x = 0? Explain your answer.

Add. 7/w²+18w+81 + 1/w²-81

Determine all solutions to the inequality |2x + 6| − |x + 1| < 6. Write your final answer in interval notation

3(4x-1)-2(x+3)=7(x-1)+2

Find the root of x^4-10x^ 5=0 using Newton's method, with a precision of the smallest positive root.

Suppose 50% of the doctors and hospital are surgeons if a sample of 576 doctors is selected what is the probability that the sample proportion of surgeons will be greater than 55% round your answer to four decimal places

(2b) to the 1/4th power. Write the expression in radical form.

If f(x,y)=6xy^2+3y^3 find (∫3,-2) f(x,y)dx.

form a key for your lock containing the numbers 2 2 5 8 How many different keys can you form?

A recurring sequence is one where elements repeat after completing one standard. If the sequence AB8C14D96AB8C1... is recurring its twentieth term is equal to: (A) B. (B) 8. (C) A. (D) 6. (E) D.

Shows two blocks, masses 4.3 kg and 5.4 kg, being pushed across a frictionless surface by a 22.5-N horizontal force applied to the 4.3-kg block. A. What is the acceleration of the blocks? B. What is the force of the 4.3-kg block on the 5.4 -kg block? C. What is the force of the 5.4 -kg block on the 4.3 -kg block?

A company receives sales in $20 per book and $18 per calculator. The per unit cost to manufacture each book and calculator are $5 and 4$ respectively. The monthly (30 day) cost must not exceed $27000 per month. If the manufacturing equipment used by the company takes five minutes to produce a book and 15 minutes to produce a calculator, how many books and calculators should the company produce to maximise profit? Please solve graphically and

In an audience of 4000 people, 2 people are chosen, at random, to appear on stage. How many ways can the people be chosen?

Fill in the P(X-x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -5 ,3 , 4, 5 , and 6.

viii. An ac circuit with a 80 μF capacitor in series with a coil of resistance 16Ω and inductance 160mH is connected to a 100V, 100 Hz supply is shown below. Calculate 7. the inductive reactance 8. the capacitive reactance 9. the circuit impedance and V-I phase angle θ 10. the circuit current I 11. the phasor voltages VR, VL, VC and VS 12. the resonance circuit frequency Also construct a fully labeled and appropriately ‘scaled’ voltage phasor diagram.

In a 24 hours period, the average number of boats arriving at a port is 10. Assuming that boats arrive at a random rate that is the same for all subintervals of equal length (i.e. the probability of a boat arriving during a 1 hour period the same for every 1 hour period no matter what). Calculate the probability that more than 1 boat will arrive during a 1 hour period. (P(X>1) ) Give your answers to 4 decimal places and in a range between 0 and 1

Find the set of points formed by the expression 𝜋<|𝑧−4+2𝑖|<3𝜋.

How many moles are there in 235 grams of potassium thiosulfate pentahydrate? K2S2O3*5(H2O)

Two trains leave stations 294 miles apart at the same time and travel toward each other. One train travels at 95 miles per hour while the other travels at 115 miles per hourHow long will it take for the two trains to meet?