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Veronika [31]
2 years ago
11

X-5y= -40 18x - 5y = 45 What is the answer to this

Mathematics
1 answer:
baherus [9]2 years ago
4 0

Answer:

(5, 9)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

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

x - 5y = -40

18x - 5y = 45

<u>Step 2: Rewrite Systems</u>

18x - 5y = 45

  1. Multiply both sides by -1:                     -18x + 5y = -45

<u>Step 3: Redefine Systems</u>

x - 5y = -40

-18x + 5y = -45

<u>Step 4: Solve for </u><em><u>x</u></em>

<em>Elimination</em>

  1. Combine equations:                    -17x = -85
  2. Divide -17 on both sides:             x = 5

<u>Step 5: Solve for </u><em><u>y</u></em>

  1. Define equation:                    x - 5y = -40
  2. Substitute in <em>x</em>:                       5 - 5y = -40
  3. Isolate <em>y</em> term:                        -5y = -45
  4. Isolate <em>y</em>:                                 y = 9
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

To solve this problem, start by moving all terms to the left side of the equation and simplify. Simplify the equation by subtracting 12 from both sides of the equation and squaring x+16, which will look like x^{2} +32x+256-12=0. Next, simplify the equation again, which will look like x^{2} +32x+244=0.

Then, use the quadratic formula to find the solutions. The quadratic formula looks like\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}.

For this problem, the quadratic variables are as follows:

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The next step is to substitute the values a=1, b=32, and c=244 into the quadratic formula and solve. The quadratic formula will look like \frac{-32(+-)\sqrt{32^2-4(1*244)} }{2*1}. To simplify the equation, start by simplifying the numerator, which will look like x=\frac{-32(+-)4\sqrt{3} }{2*1}. Then, multiply 2 by 1 and simplify the equation, which will look like x=-16(+-)2\sqrt{3}. The final answer is x=-16 ±2\sqrt{3} in exact form. In decimal form, the final answer is x=-12.535898, x=-19.464102.  

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