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
IRINA_888 [86]
3 years ago
8

1.) For the following system, use the second equation to make a substitution for x in the first equation.

Mathematics
2 answers:
Mkey [24]3 years ago
6 0
1.)-b. 2)-.b.3)-b I am sure
KATRIN_1 [288]3 years ago
4 0
QUESTION 1

The given system of equation is

3x + 2y = 7 - - - (1)
and

x - y + 3 = 0 - - - (2)

The question requires that, we make x the subject in equation (2) and put it inside equation (1).

So let us express x in terms of y in equation (2) and call it equation (3) to get,

x = y - 3 - - - (3)

We now substitute equation (3) in to (1) to obtain,

3(y - 3) + 2y = 7

Therefore the correct answer is B.

QUESTION 2

The given equations are
2x + y = 7 - - - (1)

y - x = 1 - - - (2)

First let us make all the four possible substitutions.

The first is to make y the subject in equation (2) and substitute in to equation (1) to get,

2x + x+ 1 = 7
The second one is to make x the subject in equation (2) and put in to equation (1) to get,

2(y - 1) + y = 7

The third one is to make y the subject in equation (1) and put it into equation (2) to get,

7 - 2x - x = 1

The fourth one is to make x the subject in equation (1) and put it in to equation (2) to get,

y - \frac{(7 - y)}{2} = 1

By comparing to given options, C is not part of the four possible results.

Therefore the correct answer is option C.

QUESTION 3

The equations are
8x = 2y + 5- - - (1)

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

We make y the subject in equation (2) to get,

y = 3x - 7 - - - (3)

We substitute equation (3) in to equation (1) to get,

8x = 2(3x - 7) + 5

We expand to obtain,

8x = 6x - 14+ 5

We group like terms to get,

8x - 6x = - 14+ 5

This implies that,

2x = - 9

Therefore,

x = - \frac{9}{2}

We substitute this value into equation (3) to get,

y = 3( - \frac{9}{2}) - 7

This implies that,

y = - \frac{27}{2} - 7

This gives us,

y = \frac{ - 27 - 14}{2}

y = \frac{ - 41}{2}

The solution set is

{( - \frac{9}{2} , - \frac{41}{2} )}

The correct answer is B.
You might be interested in
Each of the 34 members of the travel club plans to read a travel guide book this month the book has 86 pages this model can be u
ki77a [65]
30 times 86 equals 2580 and 4 times 86 equals 344 add those together and you get 2924
5 0
3 years ago
2 over 3 times 5 show your answer as a multiplication equation of a whole number and a fraction
romanna [79]
There you go, the answer is circled. The rest is the work that goes to it.

5 0
3 years ago
Part A: What does 0 represent in this situation? (3 points)
vampirchik [111]

Using the concept of number line, the solution to the questions posed are :

  • <em>Pool</em><em> </em><em>surface</em><em> </em>
  • <em>The</em><em> </em><em>height</em><em> </em><em>of</em><em> </em><em>slide</em><em> </em><em>is</em><em> </em><em>12</em><em> </em><em>meters</em><em> </em><em>above</em><em> </em><em>the</em><em> </em><em>pool</em><em> </em><em>surface</em><em> </em>
  • <em>The</em><em> </em><em>level</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>bottom</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>pole</em><em> </em><em>should</em><em> </em><em>be</em><em> </em><em>marked</em><em> </em><em>as</em><em> </em><em>-</em><em>3</em>

The pool surface would be treated as sea level surface, such that, position below are marked as negative and position above are marked as positive.

  • Therefore, the surface of the pool is <em>marked</em><em> </em>as the sea level position, 0.

  • Since the slide is above the surface of the pool, it's value will the positive. Hence, the height of the slide is 12 feets.

  • The marked position is below the <em>pool</em><em> </em><em>surface</em><em>,</em><em> </em>hence, it will take up a negative value of - 3 feets.

Learn more : brainly.com/question/25678498

7 0
2 years ago
Square root of 12 • by the square root of -1
Zinaida [17]

Answer:

2i-/3

Step-by-step explanation:

This question involves imaginary numbers and simplifying radicals.

7 0
3 years ago
In boot camp a cadet must use a rope swing to cross an obstacle without falling into the water hazard below. Unfortunately they
WITCHER [35]

Answer:

732.21 m

Step-by-step explanation:

Given the time taken by cadet to cross an obstacle and swing back to where he started = 5.5 seconds

The formula for a complete oscillation(to and fro) period is

<h2>T = 2π * √(L/g)</h2>

where:

<em>T is the period of oscillations</em><em> - time that it takes for the pendulum to complete one full back-and-forth movement.</em>

<em />

<em>L is the length of the pendulum </em>

<em />

<em>g is the acceleration of gravity, which</em><em> is equal to 9.81 m/s^2 </em>

5.5 = 2 π √(L / 9.81)

5.5/2π = √(L / 9.81)

8.64 = √L / 9.81

8.64 ² = L / 9.81

74.64 = L / 9.81

L = 74.64 * 9.81

L = 732.21 m

7 0
3 years ago
Read 2 more answers
Other questions:
  • Help,Please go step by step​
    11·2 answers
  • If 9x = 63, then x = ___. (Only input whole number)
    6·2 answers
  • Which best describe the meaning of this function notation ? Cost(weight)
    9·2 answers
  • Rewrite the expression as a multiple of a sum of two numbers with no common factor 26 + 22
    15·1 answer
  • Solve for the equation <br> 5= g/8<br> g=? g equals
    12·1 answer
  • Solve the system equation
    12·1 answer
  • How do you solve 2.5x + 10 = 50?
    12·2 answers
  • Please answer the question. ​
    7·2 answers
  • Which rectangle is similar to a rectangle with length of 12 yards and 23 yards?
    12·1 answer
  • If you use 1/8 lb of ham on each sandwich you make, how many
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!