Which ordered pair is a solution to the linear system? (2x + y = 5) (x – y = 13)

Answers

Answer 1

Answer:

Final answer:

The ordered pair that is a solution to the linear system of equations, (2x + y = 5) and (x - y = 13), is (6, -7). The solution was found by using the elimination method.

Explanation:

You can solve this linear system by using the substitution or elimination method. Here, I will use the elimination method, which involves adding or subtracting the equations to eliminate one of the variables.

First, add the two equations together. (2x + y) + (x – y) equals 5 + 13. This simplifies to 3x = 18.
Second, divide both sides of the equation by 3 to solve for x. This gives x = 6.
Substitute this value back into either of the original equations. By substituting into the first equation, it becomes 2*6 + y = 5. Simplifying it, gives y = -7.

So the

ordered

pair that is a solution to the linear system is (6, -7).

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Answer 2

Answer:

Answer:

The solution is {6, -7}.

Step-by-step explanation:

2x + y = 5

x – y = 13 Adding these 2 equations eliminates y:

3x + 0 = 18

x = 6.

Substituting for x in equation (1):

2(6) + y = 5

y = 5 - 12 = -7.

its C :3

Step-by-step explanation:

What is the best way to classify each equation? 22-3x+7x=4(x+5) ,6(2x-3=3(3-5), 6x-14=2(3x-7), 6x+3(x-4)=8(x-3)

Answers

1. 22 - 3x + 7x = 4(x + 5)
   22 - 3x + 7x = 4x + 20
      +3x +3x   +3x
   22 + 10x = 7x + 20
      -7x   -7x
   22 + 3x = 20
      -22    -22
   3x = -2
      3 3
   x = -2/3

2. 6(2x - 3) = 3(3 - 5)
    12x - 18 = 3(-2)
    12x - 18 = -6
   +18   +18
   12x = 12
      12    12
   x = 1

3. 6x - 14 = 2(3x - 7)
    6x - 14 = -3x
    6x - 14 = 2(-7)
    6x - 14 = -14
   +14   +14
   6x = 0
      6    6
   x = 0

4. 6x + 3(x - 4) = 8(x - 3)
    6x + 3x - 12 = 8x - 24
          9x - 12 = 8x - 24
      -8x     -8x
      x - 12 = -24
   +12    +12
           x = -12

Find the slope of the line through each pair of points (20, 8), (9, 16)

Answers

Search on Google, slope of (20,8),(9,16) and click the second thing. It has the answer to your problem.

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