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
Vlad [161]
3 years ago
7

HURRY PLEASE What is the solution of the system 4x+3y=6 2x+2y=5

Mathematics
2 answers:
murzikaleks [220]3 years ago
8 0
4x + 3y = 6
2x + 2y = 5

4x + 3y = 6
4x + 4y = 10

4x + 4y = 10
4x + 3y = 6

(4 - 4)x + (4 - 3)y = 4
y = 4

2x + 2y = 5
2x + 8 = 5
2x = -3
x = -3/2 or -1 1/2

x = -3/2, y = 4
jolli1 [7]3 years ago
7 0
The first given equation is:
4x + 3y = 6
which can be rewritten as:
2(2x) + 3y = 6 .............> equation I

The second given equation is:
2x + 2y = 5
which can be rewritten as:
2x = 5 - 2y ........> equation II

Substitute with equation II in equation I to get the value of y as follows:
2(5-2y) + 3y = 6
10 - 4y + 3y = 6
-y = 6-10 = -4
y = 4

Substitute with the y in equation II to get x as follows:
2x = 5 - 2y
2x = 5 - 2(4)
2x = 5 - 8 = -3
x = -3/2

From the above calculations:
x = -3/2
y = 4
You might be interested in
Fill in each box with the probability of the event that it represents. The following questions can be answered using your area m
Tanya [424]

Answer:

a. \ \dfrac{1}{36}

b. \ \dfrac{4}{9}

c. \ \dfrac{5}{6}

Step-by-step explanation:

The given probabilities are; P(Orange) = 1/3, P(Blue) = 1/6, P(Purple) = 1/2

The probability of rolling any of the six numbers of the six-sided die = 1/6

a. The probability of simultaneously 'rolling a 3' and 'spinning blue', P(3 and Blue) is given as follows;

P(rolling a 3) = 1/6, P(Blue) = 1/6

∴ P(3 and Blue) = (1/6) × (1/6) = 1/36

P(3 and Blue) = 1/36

P(3 \ and \ Blue) = \dfrac{1}{36}

b. The probability of either 'rolling a 1' or 'spinning Orange', P(1 or Orange), is given as follows;

P(rolling a 1) = 1/6, P(Orange) = 1/3

P(1 or Orange) = P(rolling a 1) + P(Orange) - P(1 and Orange)

Where;

P(1 and Orange) = (1/6) × (1/3) = 1/18

∴ P(1 or Orange) = 1/6 + 1/3 - 1/18 = 4/9

P(1 or Orange) = 4/9

P(1 \ or \ Orange) = \dfrac{4}{9}

c. The probability of not spinning a blue, P(not Blue) is given as follows;

P(not Blue) = P(rolling all outcomes of the die) and (The sum of the spin probabilities - P(Blue)

∴ P(not Blue) = 1 × ((1/3 + 1/6 + 1/2) - 1/6) = 1 × (1 - 1/6) = 5/6

P(not Blue) = 5/6

P(not \ Blue) = \dfrac{5}{6}

6 0
2 years ago
Angles round a point will always add up to ________⁰​
WINSTONCH [101]
360 - because a right angle is 90° and there are 4 right angles in a circle , 90 x 4 = 360
3 0
3 years ago
9) Solve for w:<br> W +12<br> 2w
Kazeer [188]

Answer:

w = 26

Step-by-step explanation:

set up an equation; since this is a right angle, it equals 90 degrees

90 = w + 12 + 2w

90 - 12 = w + 2w

78 = 3w

78/3

w = 26

8 0
2 years ago
Read 2 more answers
What does 8.1 pi belong to other than irrational?
kvv77 [185]
Real numbers, both rational and irrational numbers are real numbers
5 0
2 years ago
Read 2 more answers
Which are correct representations of the inequality –3(2x-5) &lt;5(2 - x)? Select two options.
Basile [38]

Answer:

Step-by-step explanation:

-6 and up going left

7 0
2 years ago
Other questions:
  • Jenny served a volleyball​
    9·1 answer
  • How do I write an equation for the rule for the table?
    13·1 answer
  • A researcher, interested in estimating a population mean wants to be 95% certain that the length of the confidence interval does
    8·1 answer
  • The Pythagorean Theorem deals with which relationship in a right triangle?
    7·2 answers
  • Pls explain for each answer you pick pls
    11·2 answers
  • Please help! z &gt; 34. Which of the following statements is the best way to describe the value of z?
    6·2 answers
  • The angle o represents the phase shift, determined by the initial conditions of the experiment or the position of the weight at
    10·1 answer
  • This package of cheese costs $2.97. How much would a package with 18 slices cost at the same price per slice?
    11·1 answer
  • HELP ME PLEASE OMG PLEASE
    15·2 answers
  • 3. At a bargain store, Beast Boy bought 5 items that each cost the same amount. Cyborg bought 8 items that each cost the same am
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!