4x - 3y = 15
2x + 2y = 4

what is the solution of the system of equations?

Answers

Answer 1
Answer:

Answer:

System of Linear Equations entered :

  [1]    4x - 3y = 15

  [2]    2x + 2y = 4

Step-by-step explanation:

// Solve equation [2] for the variable  y  

 

 [2]    2y = -2x + 4

 [2]    y = -x + 2

// Plug this in for variable  y  in equation [1]

  [1]    4x - 3•(-x +2) = 15

  [1]    7x = 21

// Solve equation [1] for the variable  x  

  [1]    7x = 21  

  [1]    x = 3  

// By now we know this much :

   x = 3

   y = -x+2

// Use the  x  value to solve for  y  

   y = -(3)+2 = -1  

Solution :

{x,y} = {3,-1}  

Answer 2
Answer:

Answer:

 {3,-1}  

Step-by-step explanation:


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Use the figure to identify each pair of angles as complementary angles, supplementary angles, vertical angles, or none of these.A: angles 1 and 5
B: angles 3 and 5
C: angles 3 and 4

Answers

Complimentary means parts of a 90* angle. So 1 and 5. Then 3 and 5 are vertical, and 3&4 supplementary because they make up a 180*. So comp=90, supp=180, and vertical are opposite sides of an X shape

Point A on a number line is 12 units to the left of 0. Point B is 9 units to the right of zero. What is the distance between Point A and Point B?A) -21 units
B) -3 units
C) 3 units
D) 21 units

Answers

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To make purple paint, Mya mixed 2/5 cup of red paint with 5/8 cup of blue paint. She wants to make a larger batch of the purple paint. How much red paint is needed to mix one cup of blue paint?

Answers

Answer: so i need 10/15 cups of red paint

Step-by-step explanation: 2/5 x 8/5 = 16/25

2/5 -----> 1

10/25 -----> 8/5

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How many cups is equal to a quart

Answers

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Only 4 cups.........

Please Solve:Adding and Subtracting PolymonialsAdd:  (–6 – n + 2n2) + (8 – 3n – 10n2)   
A.
–2 – 4n – 8n2
  
B.
2 – 2n – 8n2
  
C.
2 – 4n – 8n2
  
D.
–2 – 2n – 8n2

Add:  (8x + 2y – 3z – 4) + (–4x – 5y + 4z + 6)  
A.
–4x + 3y – z + 2
  
B.
4x – 3y – z + 2
  
C.
–4x + 3y –z – 2
  
D.
4x – 3y + z + 2

Subtract and simplify: (2p^2q – 3pq^2 + q^3) – (p^2q + q^3)  
A.
p^2q – 3pq^2
  
B.
2p^2q – 3pq^2
  
C.
p^2q – 3pq^2+2q^3
  
D.
p^2q – 2pq^2


Subtract and simplify: (–y^2 – 3y – 5) – (–3y^2 – 7y + 4)  
A.
2y^2 – 10y + 4
  
B.
2y^2 + 4y – 9
  
C.
–2y^2 – 10y – 1
  
D.
2y^2 – 7y – 9


Subtract and simplify: (10x^4 – 2x + 7) – (6x^4 + 2x^3 – 4x^– 1) 
A.
4x^4 – 2x^+ 4x^2 – 2x + 6
  
B.
4x^4 + 2x^– 4x^2 – 2x + 8
  
C.
4x^4 – 2x^+ 4x^2 – 2x + 8
  
D.
16x^4 + 2x^+ 4x^2 – 2x + 8

Answers

Add:\n \n (-6-n + 2n^2) + (8 - 3n - 10n^2) =\n \n= -6-n + 2n^2 + 8 - 3n - 10n^2 =\n \n=2 - 4n -8n^2 \n \n Answer : \ C. \ \ \2 - 4n - 8n2


Add: \n \n (8x + 2y - 3z -4) + (-4x - 5y + 4z + 6) = \n \n =8x + 2y - 3z -4 -4x - 5y + 4z + 6=\n \n=4 x - 3 y + z + 2 \n \n Answer : \ D. \ \ \ 4x - 3y + z + 2


Subtract \ and \ simplify: \n\n (2p^2q - 3pq^2 + q^3) -(p^2q + q^3)=\n \n= 2p^2q - 3pq^2 + q^3 - p^2q -q^3 = \n \n= p^2q - 3pq^2 \n \n Answer : \ A. \ \ \ \ p^2q - 3pq^2


Subtract \ and \ simplify: \n\n (-y^2 - 3y-5) - (-3y^2 - 7y + 4)= \n \n= -y^2 - 3y-5+3y^2 +7y- 4 =\n \n=2y^2+4y-9 \n \nAnswer : \ B.\ \ \ \ 2y^2 + 4y - 9


Subtract \ and \ simplify: \n\n (10x^4 -2x + 7)-(6x^4 + 2x^3 -4x^2 - 1) = \n \n = 10x^4 -2x + 7 - 6x^4 - 2x^3 +4x^2 + 1=\n \n=4x^4 -2x^3 +4x^2-2x + 8 \n \nAnswer : \ C. \ \ \ \4x^4 -2x^3 + 4x^2- 2x + 8
 

1)\n(-6-n + 2n^2) + (8-3n-10n^2) =2-4n-8n^2\ \ \ \Rightarrow\ \ \ Ans.\ C\n\n2)\n(8x+2y-3z-4)+(-4x-5y+4z+6)=4x-3y+z+2\ \Rightarrow\ Ans.D\n\n3)\n(2p^2q-3pq^2+q^3)-(p^2q + q^3) =p^2q-3pq^2\ \ \ \Rightarrow\ \ \ Ans.\ A\n\n4)\n (-y^2-3y-5)-(-3y^2-7y + 4) =-y^2-3y-5+3y^2+7y - 4=\n.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =2y^2+4y-9\ \ \ \Rightarrow\ \ \ Ans.\ B\n

5)\n(10x^4-2x + 7)-(6x^4 + 2x^3-4x^2-1) =\n=10x^4-2x + 7-6x^4 - 2x^3+4x^2+1=\n=4x^4-2x^3+4x^2-2x+8\ \ \ \Rightarrow\ \ \ Ans.\ C

Last year, there were 380 students at woodland middle school.This year, the student population will increase by 5%. What will be the school's increased student population

Answers

380 is 100%
this year will increase 5%
100% + 5 % = 105% = 1.05
1.05 * 380 = 399