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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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The product of the square of a number x and 2 subtracted from 3 is y.
lozanna [386]

The algebraic expression for the given statement is: 2x² - 3 = y.

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To wrote an algebraic expression is translate a statement using numbers, variables, and mathematical sign into a mathematical statement.

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5 0
1 year ago
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Triss [41]

Answer:

x= 1/20

Step-by-step explanation:

-1/2x = -10

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5 0
2 years ago
Read 2 more answers
5. Daniel arrives at his campsite out of breath from his swim and jog. His sister tells him that he should have swam to the boat
frosja888 [35]

Answer:

hello your question is incomplete attached below is the complete question

answer :

<em>Daniels sister is not correct because the time that will be taken by Daniel will be greater than the initial total time taken by Daniel.</em>

Step-by-step explanation:

<u>First determine the time it will take Daniel to reach the Boat and the jogging time</u>

time = distance / rate

where distance can be calculated using this equation: sin 53° = 400 / x

hence x ( distance ) = 500 ft

rate = 150

therefore Time ( t )  to reach boat = 500 / 150 = 3.33 minutes

Time for jogging ( as calculated ) = 3.69 minutes

therefore total time taken by Daniel = 3.33 + 3.69 = 7.02 minutes

<u>Finally determine if Daniel's sister is correct that he should have swam to the boat ramp and then jogged </u>

lets assume Distance to swim  =  x  ( according his sister )

determine the value of x = \sqrt{400^2 + 1400^2 }   therefore X = 1456.02 feet

∴

Total time to be taken if Daniel follows his sister's instruction  = 1456.02 / 150 = 9.71 minutes

<em>Daniels sister is not correct because the time that will be taken by Daniel will be greater than the initial total time taken by Daniel.</em>

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6 0
3 years ago
Abana deposits $1000 each year into a savings account earning 2% intrest .how much after 3 years
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