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
SIZIF [17.4K]
2 years ago
8

Choose the equivalent system of linear equations that will produce the same solution as the one given below.

Mathematics
2 answers:
Allisa [31]2 years ago
6 0
4x − y = −11
<span>2x + 3y = 5
lets multiply the second equation by -2 and add it to the first:
</span><span> 4x − y = −11
</span>-4x - 6y = -10
------------------
0  - 7y = -21
y = -21/-7
y = 3
now we substitute this result in the first equation to find x:
<span>4x − y = −11
</span>4x - 3 = -11
4x = -8
x = -8/4
x = 2
so the solution is y = 3 and x =2


4x − 9y = −21
<span>−10y = −30
</span>we solve for y
<span>−10y = −30
</span>y = -30/-10
y = 3
and substitute in the first equation:
<span>4x − 9y = −21
</span><span>4x − 9(3) = −21
</span>4x - 27 = -21
4x = 6
x = 6/4 = 3/2
so the solution is x = 3/2 and y = 3



 4x + 3y = 5
<span>2y = −6
</span>we solve for y:
<span>2y = −6
</span>y = -6/2
y = -3
we do substitute in the first equation:
<span> 4x + 3y = 5
</span><span> 4x + 3(-3) = 5
</span>4x - 9 = 5
4x = 14
x = 14/4
x = 7/2
so the solution is x = 7/2 and y = -3


7x − 3y = −11
<span>9x = −6
</span>we solve for x:
<span>9x = −6
</span>x = -6/9
x = -2/3
then we substitute in the first equation the result found:
<span>7x − 3y = −11
</span><span>7(-2/3) − 3y = −11
</span>-14/3 - 3y = -11
we multiply by 3 to eliminate fractions:
-14 - 9y = -33
9y = 19
y = 19/9
so the solution is x = -2/3 and <span>y = 19/9


</span>12x − 3y = −33
<span>14x = −28
</span>we solve for x:
<span>14x = −28
</span>x = -28/14
x = -2
then we substitute in the first equation:
<span>12x − 3y = −33
</span><span>12(-2) − 3y = −33
</span>-24 - 3y = -33
3y = 9
y = 3
then the solution is x = -2 and y = 3
Pavlova-9 [17]2 years ago
6 0

4x-y=-11

2x+3y=5

Solve 4x-y=-11 for y

Add -4x to both sides

4x-y+-4x=-11+-4x

-y=-4x-11

Divide both sides by -1

-y/-1=-4x-11/-1

y=4x+11

Substitute 4x+11 for y in 2x +3y=5

2x+3y=5

2x+3(4x+11)=5

Simplify both sides of the equation

14x+33=5

Add -33 to both sides

14x+33+-33=5+-33

14x=-28

Divide both sides by 14

14x/14=-28/14

x=-2

Substitute -2 for x in y= 4x+11

y=4x+11

y=(4)(-2)+11

Simplify both sides of the equation

y=3


Let's see if D will equal the same

14x=-28

12x-3y=-33

Solve 14x =-28 for x

14x/14=-28/14

x=-2

Substitute -2 for x in 12x-3y=-33

12x-3y=-33

(12)(-2)-3y=-33

Simplify both sides of the equation

-3y-24=-33

Add 24 to both sides

-3y-24+24=-33+24

-3y=-9

Divide both sides by -3

-3y/-3=-9/-3

y=3

Answer D

x=-2 and y=3


Sorry for taking so long with it but I hope you understand , have a great night

You might be interested in
What are some responsibilities that come with having a checking account?
vampirchik [111]

Answer:

Once the account is open, it is the responsibility of the account holders to reconcile their statements and maintain a proper balance in order to clear all checks. It is very important to pay attention to your balance, and a monthly reconciliation of your account is highly beneficial.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What value, written as a decimal, should Lena use as the common ratio?
inn [45]

Answer:

an=1*2.5^(n-1)

=2.5^(n-1)

Step-by-step explanation:

Complete question below:

What value, written as a decimal, should Lena use as the common ratio? Lena is asked to write an explicit formula for the graphed geometric sequence. On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2.5), (3, 6.25).

Solution

Point (1, 1), (2, 2.5), (3, 6.25).

a=1

ar=2.5

ar^2=6.25

From ar and ar^2

r=6.25/2.5

=2.5

r=2.5

an=ar^(n-1)

Therefore, the explicit formula is

an=1*2.5^(n-1)

=2.5^(n-1)

7 0
2 years ago
Eva makes a few dozen cupcakes and sells them for $8 a dozen. Which function represents the relationship between the money Eva e
d1i1m1o1n [39]
The answer   is f(m) = c x 8
8 0
3 years ago
How to convert ounces into pounds?
Vesna [10]
Hello! Its really simple 16 ounces equal 1 pound!
8 0
3 years ago
Read 2 more answers
Let V be the volume of the solid obtained by rotating about the y-axis the region bounded by y=√x and y=x^2. Find V either by sl
Ede4ka [16]

Answer:

The volume of the solid is 3\pi/10

Step-by-step explanation:

In this case, the washer method seems to be easier and thus, it is the one I will use.

Since the rotation is around the y-axis we need to change de dependency of our variables to have f(x)\rightarrow f(y). Thus, our functions with y as independent variable are:

x=\sqrt{y}\\ x=y^2

For the washer method, we need to find the area function, which is given by:

A=\pi\cdot [(\rm{outer\ radius)^2 -(\rm{inner\ radius)^2 ]

By taking a look at the plot I attached, one can easily see that for a rotation around the y-axis the outer radius is given by the function x=\sqrt{y} and the inner one by x=y^2. Thus, the area function is:

A(y)=\pi\cdot [(\sqrt{y} )^2-(y^2)^2]\\A(y)=\pi\cdot (y-y^4)

Now we just need to integrate. The integration limits are easy to find by just solving the equation \sqrt(y)=y^2, which has two solutions y=0 and y=1. These are then, our integration limits.

V=\pi\int_{0}^1 (y-y^4)dy\\ V=\pi (\int_{0}^1 ydy - \int_{0}^1 y^4dy)\\ V=\pi/2-\pi/5\\\boxed{V=3\pi/10}

3 0
3 years ago
Other questions:
  • A taxi driver had 18 fares to and from the airport last Monday. The price for a ride to the airport is $3.50, and the price for
    7·1 answer
  • What is the solution to the equation StartFraction 1 Over x EndFraction = StartFraction x + 3 Over 2 x squared EndFraction?
    8·2 answers
  • Catherine earns a yearly salary of $75,000. Lola earns a yearly salary of $80,000. Catherine will receive a salary increase of $
    15·1 answer
  • A wholesaler sells rolls of fruit snacks in two sizes of bags. The table shows the number of rolls that come in each bag. Write
    10·1 answer
  • In the length of each leg of an isosceles triangle is 13 and the base is 24, the length of the altitude to the base is
    5·1 answer
  • Write the numbers -|-2|, -(8), |-3|, -7 in order from smallest to largest.
    12·1 answer
  • 5 points
    10·1 answer
  • Find the value of 5^-3 times 2^-1
    9·1 answer
  • Write an recursive rule for the sequence 7,14,21,28
    7·1 answer
  • 1. In school lottery to win a price for "Free Domino's Pizza" it is required to select 5 numbers (in any order) out of 40 number
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!