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
Hunter-Best [27]
3 years ago
13

Solve the system of equations

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
4 0
Solve the following system:
{1.8 x - 0.5 y = -6.4
{0.6 x + 2.1 y = 2.4

In the first equation, look to solve for x:
{1.8 x - 0.5 y = -6.4
{0.6 x + 2.1 y = 2.4

1.8 x - 0.5 y = (9 x)/5 - y/2 and -6.4 = -32/5:
{(9 x)/5 - y/2 = -32/5


Add y/2 to both sides:
{(9 x)/5 = 1/10 (5 y - 64)
{0.6 x + 2.1 y = 2.4

Multiply both sides by 5/9:
{x = 1/18 (5 y - 64)
{0.6 x + 2.1 y = 2.4

Substitute x = 1/18 (5 y - 64) into the second equation:
{x = 1/18 (5 y - 64)
{2.1 y + 0.0333333 (5 y - 64) = 2.4

2.1 y + 0.0333333 (5 y - 64) = 2.1 y + (0.166667 y - 2.13333) = 2.26667 y - 2.13333:
{x = 1/18 (5 y - 64)
2.26667 y - 2.13333 = 2.4

In the second equation, look to solve for y:
{x = 1/18 (5 y - 64)
{2.26667 y - 2.13333 = 2.4

2.26667 y - 2.13333 = (34 y)/15 - 32/15 and 2.4 = 12/5:
(34 y)/15 - 32/15 = 12/5

Add 32/15 to both sides:
{x = 1/18 (5 y - 64)
{(34 y)/15 = 68/15

Multiply both sides by 15/34:
{x = 1/18 (5 y - 64)
y = 2


Substitute y = 2 into the first equation:

Answer: {x = -3, y = 2
You might be interested in
Giving Brainliest for right answers :)
VashaNatasha [74]

Answer:

∠ DFE = 15°

Step-by-step explanation:

The inscribed angle DFE is half the measure of its intercepted arc, that is

∠ DFE = \frac{1}{2} DE = \frac{1}{2} × 30° = 15°

5 0
3 years ago
Read 2 more answers
ALGEBRA 1, SEMESTER 2
SIZIF [17.4K]

So firstly, we have to find f(x) when x = 8 and x = 0. Plug the two numbers into the x variable of the function to solve for their f(x):

f(0)=\frac{2*0+3}{3*0-3}\\ f(0)=\frac{0+3}{0-3}\\ f(0)=\frac{3}{-3}\\ f(0)=-1\\ \\ f(8)=\frac{2*8+3}{3*8-3}\\ f(8)=\frac{16+3}{24-3}\\ f(8)=\frac{19}{21}

Now that we have their y's, we can use the slope, aka average rate of change, formula, which is \frac{y_2-y_1}{x_2-x_1} . Using what we have, we can solve it as such:

\frac{\frac{19}{21}-(-1)}{8-0}=\frac{\frac{40}{21}}{8}=\frac{40}{21*8}=\frac{40}{168}=\frac{5}{21}

In short, the average rate of change from x = 0 to x = 8 is 5/21.

8 0
3 years ago
1. Samantha Hayes worked 38.75 hours at Tech Pro. She is paid $14.625 an hour. What is her
Lubov Fominskaja [6]
The answer I believe is $566.719. B.
3 0
2 years ago
I need help 1,2 ,3 and 4 plz I really need help
Gnoma [55]

Answer:

1. operation is addition

inverse is subtraction

to solve, subtract 7. d = -2

2. operation is subtraction

inverse is addition

To solve, add 57. t = 96

3. operation is division

inverse is multiplication

to solve, multiply 2. a = 12

4. operation is multiplication

inverse is division

to solve, divide -3. x = -4

7 0
3 years ago
Read 2 more answers
Please help me please please
sertanlavr [38]

Answer:

ASAAAA KA BLEEE

Step-by-step explanation:

<h3>wajahhahahahahahahahahahahahahahahabahahahahahaahahahahhahahahahahahahahahahahahaha</h3>
8 0
3 years ago
Other questions:
  • Help with graph question
    7·1 answer
  • What is a real world word problem for 57.5=p(250)
    12·2 answers
  • Find the area of the shaded region.
    5·1 answer
  • A number<br> divided by<br> negative three<br> is four
    5·2 answers
  • What are the verter and x-intercepts of the graph of the function given below?<br> y=x2-2x-35
    9·1 answer
  • A standard die is rolled. Find the probability that the number rolled is odd. Express your answer as a fraction in lowest terms
    9·1 answer
  • The slope of a roof is called its pitch. The Parthenon,an Ancient Greek temple, has a roof with the rise of 4 m in a run of 12 m
    6·1 answer
  • What is the answer to level 6
    5·1 answer
  • 600 is invested for 3years at a 9% how much simple interest will be earned​
    9·1 answer
  • Quadratic transformation
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!