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
belka [17]
3 years ago
5

Y = x + 32y = 2x + 6​

Mathematics
1 answer:
Marina CMI [18]3 years ago
6 0

Answer:

x=0

y=3

Step-by-step explanation:

2(x+3)=2x+6, substituting the first equation in the second

2x+6=2x+6, rearranging the equations

2x-2x=6-6

0=0

y=0+3

y=3

You might be interested in
A potter makes vases and mugs. One day she sold 4 vases and 3 mugs for $80. Another day she sold 3 vases and 6 mugs for $90. How
Elanso [62]

Answer:

Vase: $14; Mug: $8

Step-by-step explanation:

The question asks for the costs of each vase and of each mug. Since we don't know these values yet, we can use variable v to represent the cost of each vase and variable m to represent the cost of each mug.

We are told that 4 vases and 3 mugs cost $80.

So 4v + 3m = 80.

We are also told that 3 vases and 6 mugs cost $90.

So 3v + 6m = 90.

Now, there are many approaches to solve these two equations, but the most straightforward for this particular question would be to subtract one of the equations from the other.

Since 3v can be conveniently subtracted from 4v to give you v.

    4v + 3m = 80

 - (3v + 6m = 90)

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

       v - 3m = -10

Isolate variable v.

v = 3m - 10

Now, substitute v = 3m - 10 into either one of the original equations.

4v + 3m = 80

4(3m-10) + 3m = 80

12m - 40 + 3m = 80

15m - 40 = 80

15m = 120

m = 120/15 = 8

Since m = 8, we know that each mug costs 8 dollars.

Now, substitute m = 8 into the equation again to find the cost of each vase.

4v + 3m = 80

4v + 3(8) = 80

4v + 24 = 80

4v = 56

v = 14.

Since v = 14, we know that each vase costs 14 dollars.

You can check your answer by plugging in both.

4(14) + 3(8) = 80

56 + 24 = 80

80 = 80

8 0
2 years ago
Round 43,000 to the nearest thousand
Maru [420]
43,000 is the answer, you don't have to round.
8 0
3 years ago
If the Fed's reserve requirement is 5 percent, then what quantity of excess reserves does the Bank of Cheerton now hold?
elixir [45]

The quantity of excess reserves that the Bank of Cheerton now hold is $210

From the attached table, the amount generated on the reserve is $4,200

If the Fed's reserve requirement is 5 percent, then the quantity of excess reserves that the Bank hold is given as:

Quantity of excess reserves = 5% of $4,200

Quantity of excess reserves = 0.05 * 4200

Quantity of excess reserves = $210

Hence the quantity of excess reserves that the Bank of Cheerton now holds is $210.

Learn more on discounts here; brainly.com/question/24304697

8 0
2 years ago
12. Write the equation of a parabola with vertex at<br> (2, -3) and focus at (2,5),
Tatiana [17]

Step-by-step explanation:

The basic form of equation:

(x-h)²=4a(y-k),

(h,k)=coordinates of vertex

(h, k+a) = coordinate of focus

For given parabola:

axis of symmetry: x=2

(h, k) =(2,-3)

(h, k+a)=(2,5)

k+a=5

-3+a=5

a=8(distance from vertex to focus on the axis of symmetry)

equation: (x-2)²=4×8(y+3)

(x-2)²= 32(y+3)

7 0
2 years ago
which shows the students in order from greatest test score to lease test score Alex 0.95 Octavia 16/20 Tonya 9/10 Wilson 0.87 ​
Nonamiya [84]

Answer:

Alex (0.95), Tonya (0.90), Wilson (0.87), Octavia (0.80)

Step-by-step explanation:

To solve this, we have to convert all of the scores into either a decimal or a fraction. In this case, I will be solving all of them into decimals since it is easier.

Alex: 0.95

Octavia: 16/20 = 0.80

Tonya: 9/10 = 0.90

Wilson: 0.87

Therefore, we can order these from greatest score to least score.

Alex (0.95), Tonya (0.90), Wilson (0.87), Octavia (0.80)

4 0
2 years ago
Other questions:
  • 2. How many solutions does this system have?
    14·1 answer
  • IS THIS RIGHT PLZZ HELP ME !!
    8·2 answers
  • 7pi/4 on the unit circle
    5·1 answer
  • - 1/7 divided by 1/10
    7·1 answer
  • Hallllllpppppp now
    7·1 answer
  • Sally spent half of her allowance going to the movies. She washed the family
    9·1 answer
  • 7. If it takes 2 gardeners 6 hours to landscape a garden, how long would
    14·1 answer
  • I WILL GIVE BRAINLIEST TO WHO WRITES THE STEP(WORK) DOWN! NOT JUST AN ANSWER!!!<br> x/4 &lt; −1.5
    10·1 answer
  • Dinosaurs have been extinct for about 6.5×10 exponent seven years while Neanderthals have been extinct for about 3.0×10 exponent
    11·1 answer
  • O 2ry (x - 2y)<br> O 2xy (ry - 4y)<br> 2ry (x - 2y?)<br> O 2x2y3 (y - 2)
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!