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nika2105 [10]
3 years ago
10

3x+9y=9 4x-9y=12 Solving systems by elimination

Mathematics
2 answers:
timofeeve [1]3 years ago
5 0

Answer:

(x,y)=(3,0)

Step-by-step explanation:

\left \{ {{3x+9y=9} \atop {4x-9y=12}} \right.

⇒ 7x=21 divide both sides of the equation by 7

⇒ x=3

then put x=3 in the equation 3x+9y=9

⇒ 3×3+9y=9

⇒ 9+9y=9

⇒ 9y=9-9

⇒ 9y=0 divide both sides of the equation by 9

⇒ y=0

(x,y)=(3,0)

⇒ \left \{ {{3*3+9*0=9} \atop {4*3-9*0=12}} \right.

⇒ \left \{ {{9=9} \atop {12=12}} \right.

⇒ (x,y)=(3,0)

erastova [34]3 years ago
4 0
X=3 y=0

hope this helps!
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Celine has a bottle that contains 20% of milk and the rest water. The bottle has 1 liter of water. Part A: Write an equation in
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3 years ago
Y = -3x - 2 and 5x + 2y = 15
denis-greek [22]

Answer:

(-19, 55)

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

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

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

y = -3x - 2

5x + 2y = 15

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

<em>Substitution</em>

  1. Substitute in <em>y</em>:                     5x + 2(-3x - 2) = 15
  2. Distribute 2:                          5x - 6x - 4 = 15
  3. Combine like terms:            -x - 4 = 15
  4. Isolate <em>x</em> term:                      -x = 19
  5. Isolate <em>x</em>:                               x = -19

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

  1. Define original equation:                    y = -3x - 2
  2. Substitute in <em>x</em>:                                     y = -3(-19) - 2
  3. Multiply:                                                y = 57 - 2
  4. Subtract:                                               y = 55
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3 years ago
Help ASAP......
maria [59]

Heya User !

Your Answer is in the attachment, do check out.

MᎥssAbhᎥ ☁

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