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Whitepunk [10]
3 years ago
10

Use the substitution method to solve the system of equations. Choose the correct ordered pair. 

Mathematics
1 answer:
poizon [28]3 years ago
4 0
Answer:  [B]:  " (-6, 9) " .
_______________________________
Explanation:
_______________________________________
Given the following system of equations:
_______________________________________
x + y = 3 ;

y = 9 ;
_________________________________

Substitute "9" for "y" in the first equation; to solve for "x";  we already have our value for "y" ;   "y = 9 " ; (given) ;

____________________________
      x + 9 = 3 ;

Subtract "9" from EACH side of the equation;
_____________________________________
     x + 9 − 9 = 3 − 9 ;

to get:
_____________________________________
         x = -6 .
_____________________________________

Check our  answer:

x + y = 3
________________
-6 + 9 =? 3 ?   Yes!
_____________________
The answer for the system of equations is: 
_____________________________________
     x = -6,  y = 9 ;  or, write as:  (-6, 9) .
_____________________________________
   which is:  Answer choice:  [B]:  " (-6, 9) " .
_____________________________________

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Samantha has 4 boxes of action figures. Each box contains 198 figures. which expression shows a strategy Samantha can use to fin
Lynna [10]

Number of action figures each box contains = 198

Total number of boxes = 4

The product can be found as = 4\times198

hence, option 2 is the correct answer.

4 x (200 - 2) = 4\times198


8 0
3 years ago
Equation A:
pentagon [3]

The answer is –x + 5 = 6x - 2. This is because of the Transitive Property.

You most likely remember the transitive property as "if a = b and b = c, then a = c." In this case, if y = -x + 5 and y = 6x - 2, then -x + 5 = 6x - 2.

4 0
3 years ago
ZEFG and ZGFH are a linear pair, mZEFG = 3n+ 21, and mZGFH = 2n + 34. What are mZEFG and mZGFH?
marysya [2.9K]

Answer:

The answer is below

Step-by-step explanation:

∠EFG and ∠GFH are a linear pair, m∠EFG = 3n+ 21, and m∠GFH = 2n + 34. What are m∠EFG and m∠GFH?

Solution:

Two angles are said to form a linear pair if they share a base. Linear pair angles are adjacent angles formed along a line as a result of the intersection of two lines. Linear pairs are always supplementary (that is they add up to 180°).

m∠EFG = 3n + 21, m∠GFH = 2n + 34. Both angles form linear pairs, hence:

m∠EFG + m∠GFH = 180°

3n + 21 + (2n + 34) = 180

3n + 2n + 21 + 34 = 180

5n + 55 = 180

5n = 125

n = 25

Therefore, m∠EFG = 3(25) + 21 = 96°, m∠GFH = 2(25) + 34 = 84°

7 0
3 years ago
Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answ
Nata [24]

Answer: 5x-3y=44

Step-by-step explanation:

We know that , the equation of a line that passes through (a,b) and (c,d) is given by :_

(y-b)=\dfrac{d-b}{c-a}(x-a)

Standard form of equation of line = Ax+By=C

Given points =  (7, -3) and (4, -8)

Then, the equation of a line that passes through the points . (7, -3) and (4, -8) is given by -

(y-(-3))=\dfrac{-8-(-3)}{4-7}(x-7)

(y+3)=\dfrac{-8+3}{-3}(x-7)   [∵ (-)(-)=(+)]

(y+3)=\dfrac{-5}{-3}(x-7)

(y+3)=\dfrac{5}{3}(x-7)

3(y+3)=5(x-7)

3y+9=5x-35

9+35=5x-3y

44=5x-3y

Or 5x-3y=44

Hence, the required equation :-5x-3y=44

4 0
3 years ago
4/3x + 1/6x = 36 (solve for x please help I have no idea what it is!!!!!!!
ElenaW [278]

Answer:

x = 24

Step-by-step explanation:

\frac{4}{3}x + \frac{1}{6}x = 36

Make the denominator the same by multiplying the first fraction by 2 to make both denominators 6.

\frac{8}{6}x + \frac{1}{6}x = 36

Now we can calculate the numerators and keep the denominators the same.

\frac{9}{6}x = 36

Find x.

\frac{6}{6}x = \frac{6}{9} × 36

x = 24

7 0
2 years ago
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