1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
LuckyWell [14K]
3 years ago
14

Solve each word problem using a system of equations. Use substitution or elimination.

Mathematics
1 answer:
nasty-shy [4]3 years ago
4 0

Answer:

Step-by-step explanation:

x + 3y = 24.....multiply by -1

5x + 3y = 36

------------------

-x - 3y = -24 (result of multiplying by -1)

5x + 3y = 36

------------------add

4x = 12

x = 12/4

x = 3 <=======

x + 3y = 24

3 + 3y = 24

3y = 24 - 3

3y = 21

y = 21/3

y = 7 <========

You might be interested in
The line x+ 2y = 9 intersects the curve xy + 18 = 0 at the points A and B. Find the coordinates of A and B.
victus00 [196]
Subtracting the second equation by 18 on both sides, we have xy=-18. Next, we divide both sides by x to get y=-18/x  Plugging that into the first equation, we have x+2(-18/x)=9. Multiplying both sides by x, we get x^2-36=9x. After that, we subtract both sides by 9x to get x^2-9x-36=0. Finding 2 numbers that add up to -9 but multiply to -36, we do a bit of guess and check to find the answers to be -12 and 3. Factoring it, we get 
x^2-12x+3x-36=x(x-12)+3(x-12)=(x+3)(x-12). To find the x values, we have to find out when 0=(x+3)(x-12). This is simple as when you multiply 0 with anything, it is 0. Therefore, x=-3 and 12. Plugging those into x=-18/y, we get x=-18/y and by multiplying y to both sides, we get xy=-18 and then  we can divide both sides by x to get -18/x=y. Plugging -3 in, we get -18/-3=6 and by plugging 12 in we get -18/12=-1.5. Therefore, our points are (-3,6) and (12, -1.5)
6 0
4 years ago
A recipe use 5 cups of flour for every 2 cups of sugar .a.how much sugar is used for 1 cup of flour? b.how much flour is used fo
zheka24 [161]

Answer:

1 cup of sugar per 2.5 cups of flour.

2.5 cups of flower per 1 cup of sugar.

17.5 cups of flower is used with 7 cups of sugar.

1.6 cups of sugar is used with 6 cups of flour.

Step-by-step explanation:

5 0
3 years ago
Players a, b, and c toss a fair coin in order. the first to throw a head wins. what are their respective chances of winning
Tatiana [17]
Probability a gets a head  = 1/2
 ..    ..   ..    b ..   ..  ...  ..     =  P(a gets tail) * 1/2  = 1/2 * 1/2 = 1/4
 ..   ... . ..    c  ..  ..  ..  ..  .   = P(and and b gets tail) * 1/2 = 1/4 * 1/2 = 1/8
8 0
3 years ago
Graph the line 2x – 3y = 12.
babunello [35]
Decided by 12 is 2 your welcome
8 0
3 years ago
What is the exact value of sin(15)
WARRIOR [948]
<span>the answer is 0.65028784015 </span>
8 0
3 years ago
Read 2 more answers
Other questions:
  • Need help with 7,8,11,12 and the summary
    6·1 answer
  • Find x in the triangle
    6·1 answer
  • Which set of coefficients of the terms in the Expansion of the binomial (x+y)^3 is correct?
    10·1 answer
  • Find an equation of the line with slope 15 passing through the point (10,9)​
    9·1 answer
  • Plsss help
    12·1 answer
  • Help. Look at image. I don't get this.
    15·2 answers
  • What's the volume of 1,000 kg of steel in cubic meters?
    14·1 answer
  • Solve for x &amp; show steps<br><br> 2000 = 400√x
    7·1 answer
  • Find side BC for the triangle shown (round to the nearest tenth).
    12·1 answer
  • HELP NEEDED PLEASE!!!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!