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Svetlanka [38]
3 years ago
7

Which of these strategies would eliminate a variable in the system of equations? \begin{cases} 6x + 5y = 1 \\\\ 6x - 5y = 7 \end

{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ 6x+5y=1 6x−5y=7 ​
Mathematics
1 answer:
IRISSAK [1]3 years ago
3 0

Answer:

x = 0.667 and y = -0.6

Step-by-step explanation:

Given that,

6x + 5y = 1 ....(1)

6x - 5y = 7 ...(2)

We need to solve the above equations.

Subtract equations (1) and (2)

6x + 5y -(6x - 5y) = 1-7

6x+5y-6x+5y = -6

10y=-6

y = -0.6

Put the value of y in equation (1).

6x + 5(-0.6) = 1

6x = 1-5(-0.6)

6x = 4

x = 0.667

Hence, first step is to subtract equation (1) and (2) then put the value of y in equation (1).

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How to Simplify a Ratio A : B when A and B are both whole numbers:

  1. List the factors of A
  2. List the factors of B
  3. Find the greatest common factor of A and B, GCF(A, B)
  4. Divide A and B each by the GCF
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Try to reduce the ratio further with the greatest common factor (GCF).

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Divide both terms by the GCF, 2:

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