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
Stells [14]
3 years ago
8

If (x, y) is a solution to the system of equations, what is the value of x?

Mathematics
1 answer:
GREYUIT [131]3 years ago
3 0

Answer:

B) -4

Step-by-step explanation:

(5/2)x + y = 2

x + (2/3)y = 4

y = 2 - (5/2)x

x + (2/3)(2 - (5/2)x) = 4

x + 4/3 - (5/3)x = 4

(-2/3)x = 8/3

-2x = 8

x = -4

You might be interested in
Prove algebraically that 0.5 recurring = 5/9
weeeeeb [17]

Answer:

see explanation

Step-by-step explanation:

We require 2 equations with the recurring part after the decimal point.

Let x = 0.555..... → (1)

Multiply both sides by 10, then

10x = 5.555..... → (2)

Subtract (1) from (2) thus eliminating the recurring decimal

(10x - x) = (5.5555 - 0.5555 ), that is

9x = 5 ( divide both sides by 9 )

x = \frac{5}{9}

5 0
2 years ago
MATH HELP PLEASE!!! PLEASE HELP!!!
grandymaker [24]
The answer is:  [C]:  " f(c) = \frac{9}{5} c  + 32 " .
________________________________________________________

Explanation:

________________________________________________________
Given the original function:  

" c(y) = (5/9) (x <span>− 32) " ; in which "x = f" ; and "y = c(f) " ;
________________________________________________________
</span>→  <span>Write the original function as:  " y = </span>(5/9) (x − 32) " ; 

Now, change the "y" to an "x" ; and the "x" to a "y"; and rewrite; as follows:
________________________________________________________
    x = (5/9) (y − 32) ; 

Now, rewrite THIS equation; by solving for "y" ; in terms of "x" ; 
_____________________________________________________
→ That is, solve this equation for "y" ; with "c" as an "isolated variable" on the
 "left-hand side" of the equation:

We have:

→  x  =  " (  \frac{5}{9}  ) * (y − 32) " ;

Let us simplify the "right-hand side" of the equation:
_____________________________________________________

Note the "distributive property" of multiplication:
__________________________________________
a(b + c) = ab + ac ;  <u><em>AND</em></u>:

a(b – c) = ab – ac
.
__________________________________________

As such:
__________________________________________

" (\frac{5}{9}) * (y − 32) " ; 

=  [ (\frac{5}{9}) * y ]   −  [ (\frac{5}{9}) * (32) ] ; 


=  [ (\frac{5}{9}) y ]  − [ (\frac{5}{9}) * (\frac{32}{1})" ;

=  [ (\frac{5}{9}) y ]  − [ (\frac{(5*32)}{(9*1)} ] ; 

=  [ (\frac{5}{9}) y ]  −  [ (\frac{(160)}{(9)} ] ; 

= [ (\frac{5y}{9}) ]  −  [ (\frac{(160)}{(9)} ] ; 

= [ \frac{(5y-160)}{9} ] ;  
_______________________________________________
And rewrite as:  

→  " x  =  \frac{(5y-160)}{9} "  ;

We want to rewrite this; solving for "y";  with "y" isolated as a "single variable" on the "left-hand side" of the equation ;

We have:

→  " x  =  \frac{(5y-160)}{9} "  ; 

↔  " \frac{(5y-160)}{9} = x ; 

Multiply both sides of the equation by "9" ; 

 9 * \frac{(5y-160)}{9}  =  x * 9 ; 

to get:

→  5y − 160 = 9x ; 

Now, add "160" to each side of the equation; as follows:
_______________________________________________________

→  5y − 160 + 160 = 9x + 160 ; 

to get:

→  5y  =  9x + 160 ; 

Now,  divided Each side of the equation by "5" ; 
      to isolate "y" on one side of the equation; & to solve for "y" ; 

→  5y / 5  = (9y + 160) / 5 ; 

to get: 
 
→  y = (9/5)x + (160/5) ; 

→  y =  (9/5)x + 32 ; 

 →  Now, remember we had substituted:  "y" for "c(f)" ; 

Now that we have the "equation for the inverse" ;
     →  which is:  " (9/5)x  + 32" ; 

Remember that for the original ("non-inverse" equation);  "y" was used in place of "c(f)" .  We have the "inverse equation";  so we can denote this "inverse function" ; that is, the "inverse" of "c(f)" as:  "f(c)" .

Note that "x = c" ; 
_____________________________________________________
So, the inverse function is: "  f(c) = (9/5) c  + 32 " .
_____________________________________________________

 The answer is:  " f(c) = \frac{9}{5} c  + 32 " ;
_____________________________________________________
 →  which is:  

→  Answer choice:  [C]:  " f(c) = \frac{9}{5} c  + 32 " .
_____________________________________________________
6 0
3 years ago
Exponential form of 16807
mylen [45]
<span>It is: 7 to the power of 5 = 16807</span>
8 0
3 years ago
Read 2 more answers
What is y equals 1/4 x - 8
MatroZZZ [7]

Answer:

The equation of the line in standard form is

Step-by-step explanation:

The equation of the line in point slope form is

we have

so

step 2

Find the equation of the line in standard form

The equation of the line in standard form is

where

A is positive integer

B and C are integers

we have

Multiply by 4 both sides to remove the fraction

Step-by-step explanation:

3 0
2 years ago
) Alon started in 60% of his team's basketball games this season. He started a total of 12 games. About how many games did Alon'
kvv77 [185]

Answer:

D

Step-by-step explanation:

Let x = total number of basketball games that was played by the team this season.

Alon started in 60% of his team’s basketball games this season. This means that he started in a total number of 60 percent of x basketball games this season.

60% of x basketball games this season = 60/100 × x

= 0.6×x = 0.6x

From the information given, Alon started a total of 12 basketball games this season. Therefore,

0.6x = 12

x = 12/0.6 = 20

7 0
3 years ago
Other questions:
  • Factor this expression completely, then place the factors in the proper location on the grid. 5x3 + 40y6
    8·2 answers
  • Evaluate [(51 + 3) − 32] ÷ 9 ⋅ 2
    7·1 answer
  • Write the rule for the following arithmetic sequence: 11, 15, 19, 23, …
    7·1 answer
  • Help with the answer
    14·1 answer
  • How to divide 1/8 ÷ 4
    15·2 answers
  • 1. Nola earns $62 per week walking
    11·1 answer
  • Based only on the information given in the diagram, it is guaranteed that
    7·1 answer
  • The perimeter of a square is 30cm the perimeter of a rectangle is 30cm use this information to find out the area of the square b
    12·1 answer
  • Please help <br> Needed ASAP<br> WILL GIVE BRAINLIEST AND POINTS
    7·2 answers
  • Choose the greatest fraction.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!