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
kykrilka [37]
3 years ago
10

Solve the system with elimination 4x+3y=1 -3x-6y=3

Mathematics
1 answer:
Nuetrik [128]3 years ago
5 0

Answer:

x = 1, y = -1

Step-by-step explanation:

If we have the two equations:

4x+3y=1 and -3x - 6y = 3, we can look at which variable will be easiest to eliminate.

y looks like it might be easy to get rid of, we just have to multiply 4x+3y=1  by 2 and y is gone (as -6y + 6y = 0).

So let's multiply the equation 4x+3y=1  by 2.

2(4x + 3y = 1)\\8x + 6y = 2

Now we can add these equations

8x + 6y = 2\\-3x-6y=3\\

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

5x = 5

Dividing both sides by 5, we get x = 1.

Now we can substitute x into an equation to find y.

4(1) + 3y = 1\\4 + 3y = 1\\3y = -3\\y = -1

Hope this helped!

You might be interested in
Which expression is equivalent to 5(2+7)?
frosja888 [35]

Answer:

I can help you but first I need the rest of the answers to find out what's it equivalent to.

4 0
3 years ago
1. Adam has 2.6 gallons of red paint, 2.35 gallons of white paint, and 2 5/8 gallons of blue paint. If he wants to use up the ca
Korvikt [17]
1. B<span>lue

2. 18 units

3. 3 students

4. </span><span>36.75 lbs</span>
7 0
3 years ago
If mark can make 42 cakes in 7 days how many can he make in 5 days
ipn [44]
42%7=6. 6 times 5 is 30. 30 cakes in 5 days.
6 0
3 years ago
Elizabeth has $10, $5, and $1 bills worth $101. she has five more five dollar bills than ten dollar bills and 4 times more 1 dol
vesna_86 [32]

Let x be number of $10 dollar bills

Let y be number of $5 dollar bills

Let z be number of $1 dollar bills

From the question, we can come up with three equations (so we can find the values of x, y & z) :

  • 10x + 5y + z = 101
  • y - x = 5
  • z = 4x

The first equation comes from finding the total money Elizabeth has, which is $101.

The second equation comes from value of y (number of $5 bills) is more than value of x (number of $10 bills) by 5 dollars.

The third equation comes from the value of z (number of $1 bills) being 4 times more than the value of x (number of $10 bills).

Now, we will begin to find the value of x, y & z.

From the first equation,

10x + 5y + z = 101

Substitute the third equation (z = 4x) into z:

10x + 5y + 4x = 101

Simplify this and you get,

14x + 5y = 101

Now, we use the second equation. The second equation is y - x = 5. If we try to make y as the subject, it becomes y = 5 + x.

Now, substitute this into the value of y of the last working we did:

14x + 5(5+x) = 101

Simplify that and it becomes:

x = 4

Then, substitute this value of x into the second and third equations to find y and z.

y - x = 5

y - 4 = 5

y = 9

z = 4x

z = 4(4)

z = 16

Finally, let's check these answers by substituting them into the first equation to try and see if the total value is <em>really</em> $101.

10x + 5y + z = 10(4) + 5(9) + 16

10x + 5y + z = 40 + 45 + 16

10x + 5y + z = 101

Thus, our answers are correct. Elizabeth has FOUR $10 bills, NINE $5 bills and SIXTEEN $1 bills.

6 0
3 years ago
Read 2 more answers
Leslie needs 324 inches of fringe to put around the edge of a tablecloth.The fringe comes in lengths of 10 yards.Of Leslie buys
Delicious77 [7]
324 inches = 27 feet.

10 yards = 30 feet

30 - 27 = 3.

Final answer: 3 feet of fringe will be left over.

P.S, could you mark this the brainly answer?  :)






3 0
3 years ago
Other questions:
  • Mitchell bought 76 lb of cocoa powder for her Bakery every day she use the same amount of cocoa powder to make Bakery items afte
    5·1 answer
  • A technician charges $25 per hour plus $50 for a house call to repair home computers, make a table and a graph to show the cost
    7·1 answer
  • A quadrilateral has vertices A(11, -7), B(9, -4), C(11, -1), and D(13, -4). Quadrilateral ABCD is a . If the vertex C(11, -1) we
    5·1 answer
  • What is the square root of 27/64 to the 3rd power
    15·1 answer
  • PLEASE HELP SUPER EASY 10 POINTS DUE TOMARROW
    13·1 answer
  • 7x−5=4y−6 x determine the intercepts of the line
    6·2 answers
  • 30 points to whoever can answer this please!
    12·2 answers
  • I need help with number 7
    13·1 answer
  • A thrill ride at an amusement park holds a maximum of 12 people per ride.
    6·1 answer
  • How many inches are in 2 yards, 3 feet?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!