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luda_lava [24]
3 years ago
5

2y=-x+93×-6y=-15 whats the solution to the system​

Mathematics
2 answers:
liq [111]3 years ago
8 0

Answer:

Step-by-step explanation:

2y = -x +9

3x - 6y = -15

The solution is the value of x and y that will make the two equations true in the same time.

3x-6y = -15;  divide both sides by 3

x-2y = -5; substitute 2y for -x+9 because the first equation tell us they are equal

x-(-x+9) = -5; open parenthesis

x+x-9 = -5 ; add 9 to both sides  and combine like terms

2x = -5 +9; 2x = 4; divide both sides by 2

x= 2

Substitute x for 2

2y = -x+9 ; 2y = -2 +9 ; 2y = 7; y = 7/2 = 3.5

Solution is (2, 3.5)

astraxan [27]3 years ago
3 0

Answer:

(2, 7/2)

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>

  • Coordinates (x, y)
  • Terms/Coefficients
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

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

2y = -x + 9

3x - 6y = -15

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

2y = -x + 9

  1. [Division Property of Equality] Divide 2 on both sides:                                y = -x/2 + 9/2

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

y = -x/2 + 9/2

3x - 6y = -15

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

  1. Substitute in <em>y</em>:                                                                                                3x - 6(-x/2 + 9/2) = -15
  2. Distribute -6:                                                                                                   3x + 3x - 27 = -15
  3. Combine like terms:                                                                                       6x - 27 = -15
  4. [Addition Property of Equality] Add 27 on both sides:                                6x = 12
  5. [Division Property of Equality] Divide 6 on both sides:                                 x = 2

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

  1. Define original equation:                                                                               2y = -x + 9
  2. Substitute in <em>x</em>:                                                                                                2y = -2 + 9
  3. Add:                                                                                                                  2y = 7
  4. [Division Property of Equality] Divide 2 on both sides:                                y = 7/2
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