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
Airida [17]
4 years ago
6

1/2 x + 3/4 y = -2 2/3 x + 5/6 y = -2 Solve the system.

Mathematics
1 answer:
Nadya [2.5K]4 years ago
6 0

Answer:

(2, -4)

Step-by-step explanation:

1/2 x + 3/4 y = -2

2/3 x + 5/6 y = -2

4 (1/2 x + 3/4 y = -2 ) =   -2(2x + 3y = -8)  Multiply by -2 to eliminate the x's

6 (2/3 x + 5/6 y = -2) =    (4x + 5y = -12)

                                       <u>  -4x - 6y = 16 </u>   combine with the 2nd equation

                                                -1y = 4

                                                   y = -4

plug -4 in for y to find x in either equation

1/2x + 3/4 (-4) =-2

1/2x - 3 = -2

1/2x = 1

x = 2

(2, -4)

You might be interested in
Can anyone help me with this?
sergiy2304 [10]

Answer:

Constant of proportionality is r = \frac{10}{3}

Equation is c = \frac{10}{3}g

================================================

Explanation:

The general equation they give is c = rg

Solving for r leads to r = \frac{c}{g}. We divided both sides by g to get this.

Now pick any point on the diagonal line. I'll pick (3,10)

The graph shows the horizontal axis is g and the vertical axis is c. The point (3,10) means g = 3 and c = 10 pair up together.

Making r to be,

r = \frac{c}{g} = \frac{10}{3}

and the equation in the form c = rg would be

c = \frac{10}{3}g

8 0
3 years ago
If ∆ABC is an isosceles triangle and ∆DBE is an equilateral triangle, find each missing measure.​
sleet_krkn [62]

Answer:

∠1=∠9=43°,  ∠2=∠7= 17°,  ∠4=∠5=∠6=60°, ∠3=∠8=120°

Step-by-step explanation:

Given ABC is an isosceles triangle and DBE is an equilateral triangle. we have to find each missing measure.

In triangle ABC,

∠1=∠9    (∵isosceles triangle)

⇒ 4x+3=9x-47

⇒ 9x-4x=3+47 ⇒ 5x=50 ⇒ x=10

Hence, ∠9=∠1=(4x+3)°=4(10)+3=43°

Also, given ΔBDE is an equilateral triangle, and all angle of equilateral triangle are equal.

∴ ∠4+∠5+∠6=180°

⇒ ∠4+∠4+∠4=180° ⇒ 3∠4 = 180° ⇒ ∠4 = 60°

∴ ∠4=∠5=∠6=60°

By exterior angle property, ∠3=∠5+∠6=60°+60°=120°

                                            ∠8=∠5+∠4=60°+60°=120°

In ΔABD, ∠1+∠2+∠3=180°

            ⇒ 43°+120°+∠2=180°⇒ ∠2 = 17°

In ΔABD, ∠9+∠8+∠7=180°

            ⇒ 43°+120°+∠7=180°⇒ ∠7= 17°

Step-by-step explanation:

4 0
3 years ago
Choose the estimate closest to an average​ person's weight: 8​kg, 80​kg, or 800 kg.
dexar [7]

The estimate closest to an average​ person's weight is 80​kg

<h3>How to determine the estimate?</h3>

The weights are given as:

8 kg, 80 kg and 800 kg

To answer this question, I will assume that a person means an adult

An adult that weighs 8 kg is very much under weight

Because the average weight of a person is around 60 to 90 kg

Hence, the estimate closest to an average​ person's weight is 80​kg

Read more about weights at:

brainly.com/question/2337612

#SPJ1

5 0
2 years ago
Need help with math​
IrinaVladis [17]

My work is shown up above.

5 0
3 years ago
Tell me the answer please. Give me a short answer and a step-by-step explanation.
worty [1.4K]

Answer:

(-4,16)

Step-by-step explanation:

1/2x+18=5/2+26

1/2x=5/2x+8

-2=8 divided by -2

Equals x=-4

Plug in -4 in one of the equations

1/2(-4)=18= 16

4 0
3 years ago
Read 2 more answers
Other questions:
  • Solve for A A/20 = 7
    5·2 answers
  • carol and Jan leave from the same place on the same road going the same direction.Carol walks at a rate of 2 miles per hour. Car
    5·1 answer
  • 1% of 500 is what number?///??? pls help
    11·2 answers
  • Compute the permutations and combinations.
    11·1 answer
  • The angles of a triangle are 2 x, 3x, and 4x degrees. find the value of x.
    10·1 answer
  • Jackson’s car was making a rumbling noise for two weeks. He decided to take it to the mechanic to get it checked out. To diagnos
    7·1 answer
  • What is 3.2 - 5.1n - 3n + 5 simplified
    14·2 answers
  • Need the answer asap pls​
    5·1 answer
  • A woman buys a pair of shoes at a sale. She pays $45, saving $15 on the normal price. The percentage discount on the pair of sho
    5·2 answers
  • ASAP PLEASE HELP ILL MARK AS BRAINLIEST IN TALKING FAST
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!