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
faust18 [17]
3 years ago
13

use the substitution method to solve the system of equations choose the correct orderd pair. 3x-y=7 2x-2y=2

Mathematics
1 answer:
sergey [27]3 years ago
6 0

Answer:

(3,2)

Step-by-step explanation:

We are given the system:

3x-y=7

2x-2y=2.

We are asked to solve this by substitution.  We need to pick an equation and pick a variable from that equation to solve for that variable.

I really like either for this.  Some people might go with the first one though. Let's do that.  I will solve the first one for y.

3x-y=7

Subtract 3x on both sides:

   -y=-3x+7

Divide both sides by -1:

     y=3x-7

Now we are ready for substitution.  We are going to plug this equation into the second equation giving us:

2x-2y=2 with y=3x-7 gives us:

2x-2(3x-7)=2

Distribute:

2x-6x+14=2

Combine like terms:

-4x+14=2

Subtract 14 on both sides:

-4x      =2-14

Simplify:

-4x       =-12

Divide both sides by -4:

  x       =-12/-4

Simplify:

 x         =3

So using y=3x-7 and x=3, I will find y now.

y=3x-7 if x=3

y=3(3)-7   (I inserted 3 for x since we had x=3)

y=9-7       (Simplified)

y=2           (Simplified)

The answer is (x,y)=(3,2).

You might be interested in
Enter the correct answer in the box.
UNO [17]
The answer for the question is

3 0
3 years ago
Item 5<br> What is the interquartile range of this data set?
fomenos

Answer:

its 13.0

Step-by-step explanation:

brainliest please

8 0
2 years ago
Find the volume of a hemisphere with a radius of 8. Round to the nearest tenth.
skad [1K]

Answer:

V(hemisphere) = 1072.3in^3

Step-by-step explanation:

To find the volume of a hemisphere, we will have to take the volume of a sphere as a whole and divide it by 2. This is because a hemisphere is half of a sphere.

The volume of a sphere is:

Let's plug in the radium of 8 into the equation and solve:

Now, divide it by 2

V(sphere) = (2144.660585)/2

V(hemisphere) = 1072.3in^3

I hope this helps!!

6 0
3 years ago
Sketch the general shape of each function. Then state the end behavior of the function.
nikdorinn [45]
Both the general shape of a polynomial and its end behavior are heavily influenced by the term with the largest exponent. The most complex behavior will be near the origin, as all terms impact this behavior, but as the graph extends farther into positive and/or negative infinity, the behavior is almost totally defined by the first term. When sketching the general shape of a function, the most accurate method (if you cannot use a calculator) is to solve for some representative points (find y at x= 0, 1, 2, 5, 10, 20). If you connect the points with a smooth curve, you can make projections about where the graph is headed at either end.
 End behavior is given by:
1. x^4. Terms with even exponents have endpoints at positive y ∞ for positive and negative x infinity. 
2. -2x^2. The negative sign simply reflects x^2 over the x-axis, so the end behavior extends to negative y ∞ for positive and negative x ∞. The scalar, 2, does not impact this.
3. -x^5. Terms with odd exponents have endpoints in opposite directions, i.e. positive y ∞ for positive x ∞ and negative y ∞ for negative x ∞. Because of the negative sign, this specific graph is flipped over the x-axis and results in flipped directions for endpoints.
4. -x^2. Again, this would originally have both endpoints at positive y ∞ for positive and negative x ∞, but because of the negative sign, it is flipped to point towards negative y ∞.
3 0
2 years ago
Robert has a container in the shape of a cube with an edge length of 6.1 cm. What is the volume of the container?
Setler79 [48]
Since it's a cube all the side lengths are the same. So the calculation would be 6.1x6.1x6.1 or 6.1^3
V=226.981cm^3
V=Length x width x height
7 0
2 years ago
Read 2 more answers
Other questions:
  • Can y’all plz help me
    7·1 answer
  • Need some help with this one please
    12·1 answer
  • Two parallel lines were cut by a transversal. Which of the following
    10·1 answer
  • HELP ME PLEASE!!<br> is y=2x^2 - 4 linear or non linear
    15·1 answer
  • Use the diagram of the right triangle above and round your answer to the nearest hundredth.
    14·2 answers
  • The price of a pair of shoes increases from $54 to $68. What is the percent increase to the nearest percent?
    14·1 answer
  • Convert 2 days into months. Round your answer to the nearest hundredth
    9·1 answer
  • teresa repartee un chocolate entre sus hermanos. ella le dio 1/3 a miguel y 1/4 a diego. que parte de chocolate repartido teresa
    6·1 answer
  • The neiman family went out to dinner. How much will they pass altogether if their dinner bill came to 78.52 and they tip 18%
    11·1 answer
  • Ten percent of the items produced by a machine are defective. Suppose that twenty items are randomly chosen. Use this informatio
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!