Tutors Answer Your Questions about Systems-of-equations (FREE)
Question 467084: Solve the following system for real number solutions using elimination or substitution. I am just trying to check my work. Here is what I got:
x^2+y^2=9
2x-y=3
Answer:
using substitution y=2x-3
x^2+(2x-3)^2=9
x^2+4x^2-12x+9=9
5x^2-12x=0
x(5x-12)=0
x=0 and x=12/5
Therefore:
(0,-3) and (12/5,9/5)
But I feel like I am missing something. When I graph on my calculator there is only one intersection but both answers seem to work. Plus, I am concerned about the ^2, did I capture all possible real number answers?
Thanks!
Click here to see answer by Alan3354(30993)  |
Question 470832: Solve the system by the method of substitution.
{x^2+y^2=25
{3x-4y=0
a. no real solution
b.(3,4),(3,-4)
c.(4,3),(-4,-3)
d.(4,3)
e.(4,3)(-4,3),(-4,-3),(4,-3)
Click here to see answer by hinaahsan(5) |
Question 470830: Solve the system of equations below:
7x-8y+6z=0
-3x-2y-z=0
-7x-y-z=0
a.(-5c,8c,-8c)
b.(0,0,0)
c.(-5,-8,8)
d.(-8,8,-5)
e.(-8c,8c,-5c)
Click here to see answer by Alan3354(30993)  |
Question 473392: The total number of reds and blues was one greater than the number of greens. The sum of three times the number of reds and twice the number of blues exceeded the number of greens by nine. How many of each color were there if three times the number of blues exceeded the number of greens by two?
Click here to see answer by stanbon(57347) |
Question 473391: There are 27 nickels, dimes, and quarters in the drawer with a value of $3.00. How many coins of each type are there if there are three times as many nickels as there are dimes? Write and solve a system of equations.
Click here to see answer by stanbon(57347) |
Question 473389: Robert has a box of nickels, dimes and quarters. There are a total of 28 coins in the box. The total value of the coins is $4.95 and there are five more nickels than dimes. How many of each type of coin does Robert have?
Click here to see answer by stanbon(57347) |
Question 476501: As a college graduation gift, your Aunt plans to buy shares of two stocks for you. The first costs $23 and she pays $1.40 in dividends per share. The second costs $32 and pays $1.20 per share in dividends. If she has $10,100 to spend and wants you to earn $540 individends, how many of each stock should she buy?
Click here to see answer by mananth(12270)  |
Question 476501: As a college graduation gift, your Aunt plans to buy shares of two stocks for you. The first costs $23 and she pays $1.40 in dividends per share. The second costs $32 and pays $1.20 per share in dividends. If she has $10,100 to spend and wants you to earn $540 individends, how many of each stock should she buy?
Click here to see answer by jorel1380(2518)  |
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