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
vodka [1.7K]
4 years ago
10

Simultaneous equations 2x+3y=13 4x-y=-2

Mathematics
1 answer:
Rufina [12.5K]4 years ago
3 0

Answer:

(0.5, 4 )

Step-by-step explanation:

Given the 2 equations

2x + 3y = 13 → (1)

4x - y = - 2 → (2)

Multiplying (2) by 3 and adding to (1) will eliminate the term in y

12x - 3y = - 6 → (3)

Add (1) and (3) term by term to eliminate y

14x = 7 ( divide both sides by 14 )

x = 0.5

Substitute x = 0.5 into either of the 2 equations and evaluate for y

Substituting into (1)

2(0.5) + 3y = 13

1 + 3y = 13 ( subtract 1 from both sides )

3y = 12 ( divide both sides by 3 )

y = 4

Solution is (0.5, 4 )

You might be interested in
If a bag contains 18 red, 6 yellow, 24 blue, and 8 white balloons, what is the part-lo-whole ratio of white balloons to
cupoosta [38]

Answer:

1:6

Step-by-step explanation:

1:6

I hope this answer is correct

6 0
3 years ago
Read 2 more answers
Find the product. Enter the product in simplest form.
hram777 [196]

Answer:

Mixed fraction answer 2 1/20 and fraction answer is 41/20

Step-by-step explanation:

8 0
3 years ago
PLEASE HELP WILL MARK BRAINLIEST
quester [9]
From the side, area is that of a rectangle added to a trapezoid or triangle, depending on how you slice it
.. rectangle + trapezoid = (4 ft)*(24 ft) +(4 ft +8 ft)*(16 ft)/2 = 192 ft^2
.. rectangle + triangle = (4 ft)*(40 ft) +(1/2)*(4 ft)*(16 ft) = 192 ft^2

The side area is multiplied by the width to find the volume.
.. V = (192 ft^2)*(20 ft) = 3840 ft^3 . . . . . . maximum water volume

_____
That's a pint or so more than 28,725 gallons.
6 0
4 years ago
Gabrielle surveyed a random sample of 40 students in her school's cafeteria about whether they ate the cafeteria's tomato soup.
den301095 [7]
Part A:
14/40=x/840
14*840=40x
11760=40x
294=x
x=294
194 are expected to eat the tomato soup

Part B:
find the average of 10,11, and 14 
35/3=11.67

11.67/40=x/840
40x=11.67*840
9802.8=40x
x=245.07

245.07/840
0.29175*100 = 29.175

29.175%
8 0
3 years ago
What are the domain, range, and asymptote of h(x) = (1.4)^x + 5?
Elena L [17]

Answer:

A.Domain:{x\x is a real number }

Range:{y\y>5}

Asymptote :y=5

Step-by-step explanation:

We are given that a function

h(x)=(1.4)^x+5

We have to find the domain, range and asymptote of h(x).

It is exponential function therefore, it is defined for all values of x.

Hence, domain  of h(x)={x| x is a real number}

Substitute x=0 then we get

h(0)=(1.4)^0+5=1+5=6

(a^0=1)

Hence, range of h(x)={y|y>5}

For exponential function,

Horizontal asymptote:a^x\rightarrow 0 when x\rightarrow-\infty

Apply limit x\rightarrow-\infty

\lim_{x\rightarrow-\infty}h(x)=\lim_{x\rightarrow-\infty}(1.4)^x+5=0+5=5

e^{-\infty}=0

\lim_{x\rightarrow \infty}(1.4)^x+5=\infty

Hence, the horizontal asymptote y=5.

6 0
3 years ago
Read 2 more answers
Other questions:
  • If the police have 8 ​suspects, how many different ways can they select 5 for a​ lineup?
    15·1 answer
  • Can someone please help
    13·1 answer
  • Of 100 diners in a restaurant, 45 ordered the fish of the day and 14 are wearing a dress. Of the diners who ordered fish, 8 are
    8·2 answers
  • Suppose that you are hiking on a terrain modeled by z=xy+y^3−x^2. You are at the point (2,1,−1).
    10·1 answer
  • Select all of the expressions that are equivalent to 13(−5x−62)−78 . −8x24+2124 −20x−4524 −5x−66−78 5x−6−2112
    10·1 answer
  • If a(x)=2x-4 and b(x) =x+2, which of the following expressions produces a quadratic function?
    7·1 answer
  • What is the value for y in the following equation when x= 2?
    7·2 answers
  • Please help ASAP!! 20 points givin
    10·2 answers
  • Five times the difference of a number and 3 is 15
    5·1 answer
  • QuestionUse the Distributive Property to simplify the expression.9(3+c+4) =
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!