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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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1 year ago
17. Solve the following:<br> x – 3y = 5<br> 5x – 2y = -1
Phantasy [73]

Answer:

(- 1, - 2 )

Step-by-step explanation:

Given the 2 equations

x - 3y = 5 → (1)

5x - 2y = - 1 → (2)

Rearrange (1) expressing x in terms of y by adding 3y to both sides

x = 5 + 3y → (3)

Substitute x = 5 + 3y in (2)

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Solution is (- 1, - 2 )

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