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


Answers

Answer 1

Answer:

(6/11, 16/11)

Step-by-step explanation:

While it's fairly obvious that you're supposed to "solve this system of equations," it'd be clearer if you were to say so specifically.  Also, reduce ambiguity by using parenthes:  You meant either (5/3)x or 5/(3x).  Which one?  I'm assuming it's (5/3)x.

Then our system is:

(5/3)x - 2y = -2

      x  +  y =  2

Let's eliminate y through addition/subtraction.  Multiply the 2nd equation through by +2:

(5/3)x - 2y = -2

     2x  + 2y = 4

------------------------

(11/3)x       =  2

Multiplying both sides by 3 eliminates the fractional coefficient:

11x = 6

Then x = 6/11.  Now we must solve for y:

-(6/11) + y = 2

Multiplying 2 by 11/11 yields:

-(6/11) + y = 22/11.

This simplifies to y = 16/11

Thus, the solution of this system is

(6/11, 16/11)


Related Questions

8x + 7(2-3x) = -6(2x + 5)

Answers

Answer:

x = 44

Step-by-step explanation:

8x + 7(2-3x) = -6(2x + 5)

8x + 14 -21x = -12x - 30

-13x + 14 = -12x - 30

-x + 14 = -30

-x = -44

x = 44

write the coordinates obtained after the given translation​

Answers

Answer:You would just have to add 4 to all of the x values and add 5 to all the y values

Step-by-step explanation:

J : (3,2)
K : (5,2)
L : (4,5)

what is the domain of the graphed function?

Answers

Answer:

Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Step-by-step explanation:

The domain is all the input values on the X axis

1. Order the set of integers {-3, 0, -6,4} from greatest to least.

Answers

Answer:

Greatest     4 > 0 > -3 > -6     Least

General Formulas and Concepts:

Number line

Step-by-step explanation:

Negative numbers are always going to be the smallest while positive numbers will be the greatest

Answer:

4,0,-3,-6

Step-by-step explanation:

integer means a number which is not a fraction. So 4 is the greatest ,because it is positive.Then 0.Then -3 then -6 'cause there negative.

(-4, 12) and (-7, -3)

(Write an equation of the line in point slope form that passes through the giving points)

Answers

Answer:

5

Step-by-step explanation:

Use the slope formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{-3-12}{-7-(-4)}[/tex] = [tex]\frac{-15}{-3}[/tex] = 5

There are 9.4 hours of music left on Nate's playlist and this is 47% of the total memory how much memory does Nate's MP3 player have? Please answer

Answers

Answer:

Nate's MP3 has 20 hours of memory.

Step-by-step explanation:

1. multiply 9.4 times 100

2. divide that by 47

3. you get your answer of 20 hours

HELP ASP!!❤️
WILL GIVE BRAINLIEST!...

Find the slope of the line. Enter your answer in simplest form.

Answers

Answer:

[tex]m=\frac{-4}{3}[/tex]

General Formulas and Concepts:

Order of Operations: BPEMDASSlope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-6, 5)

Point (3, -7)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{-7-5}{3-(-6)}[/tex]Simplify:                        [tex]m=\frac{-7-5}{3+6}[/tex]Subtract/Add:               [tex]m=\frac{-12}{9}[/tex]Simplify:                        [tex]m=\frac{-4}{3}[/tex]

Answer:

the slope is -4/3

Step-by-step explanation:

m=y2-y1/x2-x1

-7-5=(-12)

3-(-6)=9

-12/9

-12/3=(-4)

9/3=3

-4/3

hope this helps :3

if it did pls mark brainliest

-3(2x+1) is 20 greater than the value of 8x+5 : what does x equal

Answers

Answer:

-2

Step-by-step explanation:

What is this expression in simplified form? √32 x √24
A. 16√3
B. 64√12
C. √768
D. 32√3

Answers

Answer:

16 sqrt(3) x -> A. 16√3

Step-by-step explanation:

Simplify the following:

sqrt(32) sqrt(24) x

Hint: | Simplify radicals.

sqrt(32) = sqrt(2^5) = 2^2 sqrt(2):

2^2 sqrt(2) sqrt(24) x

Hint: | Evaluate 2^2.

2^2 = 4:

4 sqrt(2) sqrt(24) x

Hint: | Simplify radicals.

sqrt(24) = sqrt(2^3×3) = 2 sqrt(2) sqrt(3):

4 sqrt(2)×2 sqrt(2) sqrt(3) x

Hint: | For a>=0, sqrt(a) sqrt(b) = sqrt(a b). Apply this to sqrt(2) sqrt(3).

sqrt(2) sqrt(3) = sqrt(2×3):

4 sqrt(2)×2 sqrt(2×3) x

Hint: | Multiply 2 and 3 together.

2×3 = 6:

4 sqrt(2)×2 sqrt(6) x

Hint: | Multiply 4 and 2 together.

4×2 = 8:

8 sqrt(2) sqrt(6) x

Hint: | For a>=0, sqrt(a) sqrt(b) = sqrt(a b). Apply this to sqrt(2) sqrt(6).

sqrt(2) sqrt(6) = sqrt(2×6):

8 sqrt(2×6) x

Hint: | Multiply 2 and 6 together.

2×6 = 12:

8 sqrt(12) x

Hint: | Simplify radicals.

sqrt(12) = sqrt(2^2×3) = 2 sqrt(3):

8×2 sqrt(3) x

Hint: | Multiply 8 and 2 together.

8×2 = 16:

Answer: 16 sqrt(3) x

Answer:

16√3

Step-by-step explanation:

I got it on test

Channing earns $13.50 per hour at his job. During one week, he worked a total of 2012hours. He deposited $190.00 in the bank and decided to use the rest of is money to buy shirts for work. If each shirt costs $8.50, what is the most amount of shirts Channing could buy?

Answers

Answer:

3173

Step-by-step explanation:

13.50*2012=27,162-190=26,972/8.50=3173


it is expected that 563 quadrillion thermal units of Btu (British thermal units) of energy will be
consumed worldwide in 2015. In 2003, worldwide consumption was 421 quadrillion Btu. What is the
expected rate of change in consumption from 2003 to 2015? (what is rate of change?)

Answers

Answer:

the expected rate of change in consumption is 11.83

Step-by-step explanation:

The computation of the expected rate of change in consumption is shown below:

= (Expected quadrillion thermal units - 2003 quadrillion thermal units) ÷ (difference in years)

= (563 - 421) ÷ (2015 - 2003)

= 142 ÷ 12

= 11.83

hence, the expected rate of change in consumption is 11.83

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Is there a proportional relationship between x and y? Explain.
х
8
10
12
14
у
5
7
9
11
A.
No, all ratios
are not equivalent.
B. Yes, each x value and y value increases by 2.
C. Yes; the difference between each x value and y value is 3.
D.
No, all ratios
are greater than 1.

Answers

Answer:

B. Yes, each x value and y value increases by 2.

T-shirts and More Print Shop will print any image on a mouse pad for a cost of $2 per mouse pad and a one-time charge of $12 to set up the mouse pad design. The total cost of an order was $562. How many mouse pads were printed?


A:47


B:275


C:550


D:281

Answers

Answer: 275

Step-by-step explanation:

15 points!!! Additive inverse is when two numbers have a sum of:

Answers

When two numbers have a sum of 0
0
You want your numbers to add up and have a sum of zero

What is the value of p? Please provide an explanation, thanks!

Answers

Answer:

p = 2?

Step-by-step explanation:

6 - 4 = 2

4 + _ = 6 (2)

2 + 2 = 4

Answer:

Step-by-step explanation:

6p - 4 + 4p + 6 + p + 2 = 180

11p + 4 = 180

11p = 176

p = 16

-6t-7=17 what does t equal

Answers

Answer:

t=-4

Step-by-step explanation:

I know you don't care about any explanation, and just want the answer, but to get this, you can add 7 to both sides. Then you get -6t=24. Divide both sides by -6 and you get -4

Write an equation in slope-intercept form that passes through the point (−4,−5) and has a slope of 3/4

Answers

Answer:

It is A

Step-by-step explanation:

All of the following are equivalent EXCEPT x < 2 x - 2 < 4 2x < -4 x - 2 < -4

Answers

Answer:

solution

x<2,2x<-4,x-2<-4 are equvalent

but x-2<4 is not


[tex]4x + 5y = 19 \\ x + 5y = 13[/tex]
I need some help putting it in ordered pair​

Answers

Subtract 5y from both sides of the equation
X=13-5y

The larger of two numbers is fourteen more than twice the smaller number. If the sum of the numbers is 41, find the two numbers. Write your answer as two numbers separated by a comma.

Answers

Answer:

x+y=41

x=2y+14

by solving eq

2y+14+y=41

y=27

×=68

Lin’s bike travels 100 meters when her wheels rotate 55 times. What is the circumference of her wheels?

____ m

Answers

Answer:

the circumference of her wheel is 1.81 m

Lin’s bike travels 100 meters when her wheels rotate 55 times.

here, n = 55 rotation and D = 100 meter.

Diameter is the distance bike travel

n is the number of times rotation

C is the circumference of the wheel

PLEASE HELP ME ASAP RIGHT ANSWERS ONLY

You work 4 hours on Monday, 4.5 hours on Tuesday, 7.25 hours on Thursday, and 12 hours on Saturday. If you get paid $11.52 per hour, what is your total pay for the week

Answers

ANSWER $319.68
Add all of your hours up and then multiply them by $11.52

please help, i’m trying to understand this

Answers

Answer:

x = 25 and <A = 148 degrees

Step-by-step explanation:

Basically it's asking you to find the value of x for both of those equations, x must be the same for both

6x - 2 = 4x + 48

Select the graph that represents the solution for the following system of inequalities.

Answers

Answer:

I think that answer is C

Step-by-step explanation:

I am not 100% sure but it is worth a try

Answer:

YESS DADDYY!!!

Step-by-step explanation:

3x - 7 = 29
What is x

Answers

Answer:

x = 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

3x - 7 = 29

Step 2: Solve for x

Add 7 on both sides:                    3x = 36Divide 3 on both sides:                x = 12

Step 3: Check

Plug in x to verify it's a solution.

Substitute:                    3(12) - 7 = 29Multiply:                        36 - 7 = 29Subtract:                       29 = 29

Here we see that 29 does indeed equal 29.

∴ x = 12 is a solution of the equation.

Brainliest 5 stars Thanks! (running out of time and points sorry)

Answers

The answer is c f(-8)=0

(2x−2)−(2x−4) simplify the equation

Answers

Answer:

2

General Formulas and Concepts:

Order of Operations: BPEMDASProperties

Step-by-step explanation:

Step 1: Define expression

(2x - 2) - (2x - 4)

Step 2: Simplify

Distribute -1:                    2x - 2 - 2x + 4Combine like terms:       2

120% is 24 whats the answer and how?

Answers

Answer:

Step-by-step explanation:

So the answer is 20.

24 ÷120%=24÷(120÷100)=(100 x 24) ÷120=2,400÷120=20

Hope this helps ∞<3

HELP!!!
write the linear equation of the given table

Answers

Answer: y = 1.5x + 3

Step-by-step explanation:

What is the value of c?

Answers

The answer is 71 degrees, considering that one is a right angle we know that it is 90 degrees and because all of the angles of a triangle added up is 180 we can do 180 - (90 + 42) = 48, 48 is a, then we know that angle B is on a supplementary angle with a so it would be 90 - a = b, plug it in it would be 90 - 48 = 42 then we would do the same thing to find angle c, 180 - (42 + 67) which equals 71
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