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
Can anyone please help me with this question??????
erastovalidia [21]
X=8 & z=66

because vertical angles are congruent
5 0
3 years ago
Read 2 more answers
PLZ HELP ASAP! IM FAILING SO PLEASEEEE
UkoKoshka [18]

Answer: B

You can find slope by using the slope formula. Because we are already given two coordinate points, we can use that to find our slope. The slope formula is \frac{y^{2}-y^{1}  }{x^{2}-x^{1} }. This also refers to \frac{5-(-5)}{0-4} or 10/-4 or -5/2. Any coordinate with the x-value as 0 means that that coordinate is the y-intercept. Because (0,5) has 0 as its x-value, the y-intercept is 5.

3 0
3 years ago
Find the 12th term of the arithmetic sequence 2x + 8,6x + 5, 10x + 2, ...
lawyer [7]

Answer: The 12th term is 46x -25

Step-by-step explanation:

It is increasing by 4x and decreasing by 3 through each term, this represents the d. a1 has already been identified as 2x +8, so you just have to write down the formula and the solve form there by plugging in the 12 in (n-1) to find the answer.

8 0
3 years ago
An architect makes a model of a new house. The model shows a tile patio in the backyard. In the​ model, each tile has a length o
amid [387]

Answer:

1:8 and 1:64

Step-by-step explanation:

(i think)

4 0
2 years ago
Solve the equation.<br><br> x/-4-5=4
Dvinal [7]

Answer:

x = -36

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • True/False (4z + y) is the sum of two terms
    10·2 answers
  • What is the slope and y-intercept of this line? <br><br> y = -6 + 2<br><br> I'll give brainiest.
    12·1 answer
  • Xavier spent $84 on art supplies. The canvas for each of his paintings is an additional $1. He plans to sell his paintings for $
    6·1 answer
  • Del Gato Clinic's cash account shows a $11,589 debit balance and its bank statement shows $10,555 on deposit at the close of bus
    11·1 answer
  • Need help with this math​
    13·2 answers
  • Bobby's dad is 41 and is 6 more than 5 times Bobby's age. Bobby's little sister Emma is one less than half his age. How old are
    7·1 answer
  • I need help plz!!!!!
    9·2 answers
  • Mrs. Kaplan"s son, Carter, can crawl 125 feet in 1.5 minutes. He can walk 384 feet in 4 minutes. Is he faster on all fours or on
    9·1 answer
  • Whats the anwser to -3(x-9)=-3
    15·1 answer
  • Anybody want points?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!