Mathematics 97 Online OpenStudy (anonymous):

find two consecutive odd numbers such that the sum of three sevenths of the first numberand one third of the second numberis equal to 38 OpenStudy (shadowfiend):

So you want $$\frac{3}{7}x + \frac{1}{3}y = 38$$, where x and y are consecutive odd numbers. The fact that they are consecutive odd numbers means that the relationship between the two can be described as $$x = y + 2$$ (or vice versa). That means you have: $$x = y + 2$$ $$\frac{3}{7}x + \frac{1}{3}y = 38$$ Can you figure out how to solve this using systems of equations? OpenStudy (anonymous):

im confused OpenStudy (sandra):

hmmm, well in this question you have two unknowns, the first number and the second number OpenStudy (sandra):

(let's call them x and y). according to the second part of your prompt, we know 3x/7 + y/3 = 38 - that's what shadowfiend wrote too OpenStudy (sandra):

now, given that the numbers are consecutive, odd numbers, you have another equation you can write too OpenStudy (sandra):

since all consecutive odd numbers are two numbers apart (since every other number is even), you know the second number (y) is y = x + 2 OpenStudy (sandra):

if you substitute that in for y in the first equation, you should have the answer OpenStudy (sandra):

or rather, you'll be able to solve for x OpenStudy (sandra):

and then consequently you'll be able to get y (by substituting the actual value of x into either equation) OpenStudy (anonymous):

thank you :) OpenStudy (sandra):

yep no problem, the good thing is once you think you've solved these, they're easy to check, since you just put the numbers back into your equations and make sure the statements are true OpenStudy (shadowfiend):

Thanks for covering, sandra, great explanation :)

Latest Questions Sharkattack123: Children of all ages I am here to tell you 3 simple things
3 minutes ago 59 Replies 2 Medals DeHatinOnBella: What effect did the "Don't Ask, Don't Tell" policy have on LGBTQ troops?
13 minutes ago 2 Replies 0 Medals DeHatinOnBella: On April 19, 1995, an act of domestic terrorism occurred when ignited a bomb that killed hundreds of people at the .
28 minutes ago 9 Replies 2 Medals ExclusiveKylaa: Marilyn Monroe said, "Strong women don't have attitudes they have standards", think about the strong women you have encountered in your life and type below
43 minutes ago 3 Replies 2 Medals Sharkattack123: Admire this
26 minutes ago 6 Replies 2 Medals biigT: Which two statements are consistent with the definition of a round character?
17 seconds ago 8 Replies 1 Medal rose12345: can u help again
7 hours ago 8 Replies 1 Medal rose12345: helpppp
7 hours ago 4 Replies 1 Medal TETSXPREME: The diameter of a circle is 12.2 inches. What is the circle's area? Use 3.14 for u200bud835udf0b and round your answer to the nearest hundredth.
12 hours ago 8 Replies 1 Medal Amity: I'm so sorry for asking this, but how do I do the theme creator on here?
43 minutes ago 4 Replies 2 Medals