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Allushta [10]
3 years ago
11

Find the solution to the system of equations below. 7x+3y=12 and 7x-3y=30

Mathematics
1 answer:
Marysya12 [62]3 years ago
5 0

Answer:

C. (3, -3)

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

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

7x + 3y = 12

7x - 3y = 30

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

  1. Eliminate <em>y</em>:                    14x = 42
  2. Isolate <em>x</em>:                         x = 3

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Substitute in <em>x</em>:                    7(3) + 3y = 12
  2. Multiply:                               21 + 3y = 12
  3. Isolate <em>y</em> term:                     3y = -9
  4. Isolate <em>y</em>:                              y = -3

And we have our final answer!

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