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Luba_88 [7]
3 years ago
6

How can (1/2)x-5=(1/3)x+6 be set up as a system of equations?

Mathematics
1 answer:
leonid [27]3 years ago
8 0

Answer:

 C)

  • 2y-x=-10
  • 3y-x=18

Step-by-step explanation:

Set each side of the equation equal to y, then rearrange to standard form.

  (1/2)x -5 = y . . . left side of the equal sign

  x -10 = 2y . . . . multiply by 2

  -10 = 2y -x . . . . subtract x

__

  (1/3)x +6 = y . . . right side of the equal sign

  x +18 = 3y . . . . . multiply by 3

  18 = 3y -x . . . . . subtract x

The corresponding system of equations is ...

  • 2y -x = -10
  • 3y -x = 18
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Step-by-step explanation:

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Answer:

I have actually done this before, I got it right and I chose C!

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What is the answer to this equation t+t+t=12
OLEGan [10]

Answer:

t = 4

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define equation</u>

t + t + t = 12

<u>Step 2: Solve for </u><em><u>t</u></em>

  1. Combine like terms (t):                    3t = 12
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<u>Step 3: Check</u>

<em>Plug in t into the original equation to verify it's a solution.</em>

  1. Substitute in <em>t</em>:                    4 + 4 + 4 = 12
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  3. Add:                                    12 = 12

Here we see that 12 does indeed equal 12.

∴ t = 4 is a solution of the equation.

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Answer:

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