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
Alex Ar [27]
3 years ago
6

Hich ordered pair is the solution to the system of equations? {x=(1)/(2)y+5} {2x+3y=-14}

Mathematics
2 answers:
faltersainse [42]3 years ago
8 0

Answer:

(2, - 6 )

Step-by-step explanation:

Given the 2 equations

x = \frac{1}{2} y + 5 → (1)

2x + 3y = - 14 → (2)

Substitute x = \frac{1}{2} y + 5 into (2)

2( \frac{1}{2} y + 5 ) + 3y = - 14 ← distribute and simplify left side

y + 10 + 3y = - 14

4y + 10 = - 14 ( subtract 10 from both sides )

4y = - 24 ( divide both sides by 4 )

y = - 6

Substitute y = - 6 into (1) for corresponding value of x

x = (0.5 × - 6 ) + 5 = - 3 + 5 = 2

Solution is (2, - 6 )

Airida [17]3 years ago
7 0

Answer:

The solution to the system of equations is (2,-6).

Step-by-step explanation:

Given : Equations x=\frac{1}{2}y+5 and 2x+3y=-14

To find : Which ordered pair is the solution to the system of equations?

Solution :

Write the equation  x=\frac{1}{2}y+5  as  2x=y+10 ....(1)

Let  2x+3y=-14  ....(2)

Substitute the value of '2x' from (1) in (2),

y+10+3y=-14

4y=-24

y=\frac{-24}{4}

y=-6

Substitute in x=\frac{1}{2}y+5 ,

x=\frac{1}{2}(-6)+5

x=-3+5

x=2

The solution to the system of equations is (2,-6).

You might be interested in
The pentagonal prism has a perpendicular distance of 14 units between the bases. The volume of the prism is 840 cubic units. Wha
nadezda [96]
<span>Prism Volume = Area of Base • Height
</span>
Area of Base = Prism Volume / Height
Area of Base = 840 / 14
Area of Base = 60
pentagon area = 5 * side^2 / 4 * tan (180 / 5)
side^2 = [pentagon area * 4 * tan (180 / 5)] / 5
side^2 = [60 * 4 * tan (36)] / 5

side^2 =240 * 0.72654 / 5

side^2 = <span> <span> <span> 174.3696 </span> </span> </span> / 5
side^2 = <span> <span> <span> 34.87392 </span>
</span></span>
side = <span> <span> <span> 5.9054144647 </span></span></span>
Pentagon Perimeter = <span> <span> <span> 5.9054144647</span></span></span>* 5
<span><span><span>Pentagon Perimeter = 29.5270723235 </span> </span> </span>




4 0
3 years ago
Read 2 more answers
Chase's birthday party costs $8 for every guest he invites. How many guests can there be
QveST [7]

Answer:

4 guests

Step-by-step explanation:

If it's $8 every person, 4 x $8 is $32, so he can have 4 guests.

7 0
3 years ago
Read 2 more answers
2/3 * 2/3 divid (2/5 divide 3/5) answer plz
hichkok12 [17]

Answer for Q.1 = 4/9     
Answer for Q2. = 2/3
6 0
3 years ago
What is the product of 45 x 104 = ________?
DedPeter [7]

Answer:

45 x104 = 4680

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
The area of a playground is 2,400 square yards, and the width is 40 yards. What is the length of the playground? PLEASE HELP
Dmitrij [34]
The answer you are looking for is 60 yards!
You can use the formula x*y=z
Making 40*y=2400
Do 2400/40= 60
40*60=2400
Making 60 your length of the playground!
I hope this helps!
5 0
2 years ago
Other questions:
  • Notebooks cost $1.20 each. This weekend they will be on sale for $0.80. What percentage is the sale?
    15·2 answers
  • Find the complete factored form of the<br> polynomial:<br> -24a^4 – 20a^3
    5·1 answer
  • 46. Construct Arguments A one-year prepaid
    9·1 answer
  • What is the approximate value of x in the diagram below?
    11·2 answers
  • The distance AB rounded to the nearest tenth
    11·1 answer
  • Car A went 60 km in 3/4 hour while a car B went 80 km in 4/5 hour. Which car was faster? How many times faster?
    6·1 answer
  • Write the percent as a decimal.<br> 78% = 1
    13·1 answer
  • Can someone help me with this one?
    8·1 answer
  • Normal text
    6·1 answer
  • Find the measure of each acute angle.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!