One number is 1 more than 2 times another. Their product is 10. Find the numbers.

Answers

Answer 1

Answer: whenever a problem says "one number" and "another number" we can substitute x and y. for this we have x=2y+1 and xy=1. since we know the value of x (2y+1) we can substitute it for the other equation to get (2y+1)y=10. simplify to get 2y^2+y=10. from here you can do a few methods to solve this, but the simplest in my opinion is by factoring.

In order to factor it must be equal to 0, so we have 2y^2+y-10=0. We factor this and get y=5 (we also get y=-4 but it is an extraneous root). now we can plug that into either equation and find that x=2.

this means our two numbers are 5 and 2

Related Questions

Subtract.(x + 1) - (-2x - 5) A) 6 –x B) -x - 4 C) 3x - 4 D) 3x + 6
Which explanation best describes how to solve this problem? Gloria was taking photographs at a waterfall. She deleted 18 photographs. Then, during the hike from the waterfall, she took 13 more. She deleted another 9. Now Gloria has 22 photographs left. How many photographs did Gloria have to begin with? A.Guess and test. Guess that Gloria had 40 photographs to begin with. Subtract the number she deleted (18) and add the number she took (13). Then subtract the second amount she deleted (9). This gives 26. That is 4 more than 22. Add 4 to your guess. Gloria had 44 photographs to begin with. B.Draw a diagram. Draw a large circle to represent the photographs Gloria had to begin with. Add 22 dots, 18 dots, and 9 dots to the circle. Cross out 13 dots for the ones she took during the hike. Add all remaining dots to figure out that Gloria started with 36 photographs. C.Translate into an equation. 18 + 13 + 9 – 22 = b Gloria had 18 photographs to begin with. D.Work backward. Start with the number of photographs that Gloria has left (22). Add the photographs that were deleted (18 + 9). Then add photographs that she took during the hike (13). Gloria had 62 photographs to begin with.
A catering service offers appetizers, main courses, and desserts. A banquet chairperson is to select appetizers, main courses, and desserts for a banquet. In how many ways can this be done?
How to expand and simplify (2x+3y)(x-y)
State how many imaginary and real zeros the function has.f(x) = x5 + 7x4 + 2x3 + 14x2 + x + 7 A. 3 imaginary; 2 real B. 4 imaginary; 1 real C. 0 imaginary; 5 real D. 2 imaginary; 3 real

Please help me thank u

Answers

simplify inside the ( )'s first, reducing the 6 with the 3 leaving a 2 in the numerator, and reducing the x³ with the x^4, leaving an x in the denominator:
(2/x)²

square both numerator an denominator:

4/x² check this one not sure just what I know though...tell me if it helps

Angles l and m are supplementary. what is the sum of their measures? (Is the answer 180?)

Answers

Yes, the sum of their measures is 180.

Yes. Your right, the answer IS 180.

1 you type 500 words in 250 minutes find the wpm2. bus holds 32 students 192 students to use the bus. find the number of students per bus.

Could you please answer and explain? I haven't learned this yet.

Answers

1. wpm = number of words / number of minutes
so 500/250 = 2wpm

2. if one bus can hold 32 students, and you have 192 of them, divide the amount of students by the number that can fit on one bus
192/32 = 6 buses

A basketball court is in the shape of a rectangle. It has a length of (x − 7) meters and a width of (x + 3) meters. The expression below represents the area of the court in square meters:(x − 7)(x + 3)

Which of the following simplified expressions represents the area of the basketball court in square meters?

− 6x + 3
x^2 − 21
x^2 − 4x − 21
x^2 − 7x + 3

Answers

x^2 -3x+7x-21

so simplified is:

x^2 - 4x - 21

bro i had 10,000 points on brainly, and some weird a.i. deleted all my answers to all the questions i answered so now i only have 732 points?!