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sergiy2304 [10]
3 years ago
12

A system of equations is shown below: x + 3y = 5 (equation 1) 7x − 8y = 6 (equation 2) A student wants to prove that if equation

2 is kept unchanged and equation 1 is replaced with the sum of equation 1 and a multiple of equation 2, the solution to the new system of equations is the same as the solution to the original system of equations. If equation 2 is multiplied by 1, which of the following steps should the student use for the proof?
Mathematics
2 answers:
satela [25.4K]3 years ago
7 0

Answer:

The correct answer is B. Show that the solution to the system of equations 8x − 5y = 11 and 7x − 8y = 6 is the same as the solution to the given system of equations"

Step-by-step explanation:

AysviL [449]3 years ago
3 0
(1) x + 3y = 5

(2) 7x - 8y = 6

Condition: equation (2) is multiplied by 1

If you multiply equation (1) by 1 and add the equation (2), you get

  x + 3y = 5
7x  - 8y = 6
----------------
8x - 5y = 11

So, if the student proves that the system formed by the new equation and the second equation is the same, he/she will have the proof:

So, the answer is "s<span>how that the solution to the system of equations 8x − 5y = 11 and 7x − 8y = 6 is the same as the solution to the given system of equations"</span>
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Each pair of polygons below is similar. Find the value of x. Some answers may be decimals.
sergiy2304 [10]

Answer:

The answer to your question is below.

Step-by-step explanation:

14.- Use proportions to solve these problems.

             \frac{x + 6}{10} = \frac{x + 9}{14}

                               14(x + 6) = 10(x + 9)

                               14x + 84 = 10x + 90

                               14x - 10x = 90 - 84

                                         4x = 6

                                           x = 6/4

                                          x = 3/2

15.-        \frac{x - 1}{8} = \frac{x + 2}{10}

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16.-       \frac{x + 1}{9} = \frac{10/3}{5}

                            5(x + 1) = 9(10/3)

                            5x + 5 = 30            

                                  5x = 30 - 5

                                  5x = 25

                                    x = 25 / 5

                                    x = 5

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Answer:

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