SOLUTION: Answers with work shown please. 2. Solve the following systems of equations by elimination. Verify the solutions. a. r + 2s + 1 = 0 r + 5s + 28 = 0 Answer:

Algebra ->  Linear-equations -> SOLUTION: Answers with work shown please. 2. Solve the following systems of equations by elimination. Verify the solutions. a. r + 2s + 1 = 0 r + 5s + 28 = 0 Answer:       Log On


   



Question 1020594: Answers with work shown please.
2. Solve the following systems of equations by elimination. Verify the solutions.
a. r + 2s + 1 = 0
r + 5s + 28 = 0
Answer:
b. 4m - 3n = 27
8m - 6n = 18
Answer:


c. 0.6x = 1.2 + 0.3y
2.2x - 1.8y - 1.6 = 0
Answer:
/2 3. Frank has $8 000 that he plans to split into two investments. He wrote the following two equations to represent the interest he will earn from each of the two investment options.
• 2000A + 6000B = 520
• 4000A + 4000B = 480
Determine the interest rates, A and B, as percentages.
Answer:

Answer by ikleyn(52786) About Me  (Show Source):
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2. Solve the following systems of equations by elimination. Verify the solutions.
a. r + 2s + 1 = 0
r + 5s + 28 = 0
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First, write the equation in canonical form:

r + 2s = -1,    (1)
r + 5s = -28.   (2)

Distract equation (1) from equation (2) (both sides). 
In this way you eliminate the unknown r and obtain a singular equation for the unknown s:You will get

5s - 2s = -28 - (-1) = -27.

Hence, s = -27%2F3 = -9.

Then from (1) r = -1 - 2s = -1 -2*(-9) = -1 +18 = 17.

Answer. The solution is r = 17, s = -9.

Please check yourself the solution. Simply substitute the found values into the original equations (1) and (2).