Respuesta :

Space

Answer:

(-7, -1)

General Formulas and Concepts:

Pre-Algebra

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

Algebra I

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

5x - 9y = -26

-2x + 3y = 11

Step 2: Rewrite Systems

-2x + 3y = 11

  1. Multiply everything by 3:                    -6x + 9y = 33

Step 3: Redefine Systems

5x - 9y = -26

-6x + 9y = 33

Step 4: Solve for x

Elimination

  1. Combine 2 equations:                    -x = 7
  2. Divide -1 on both sides:                  x = -7

Step 5: Solve for y

  1. Define equation:                    5x - 9y = -26
  2. Substitute in x:                       5(-7) - 9y = -26
  3. Multiply:                                  -35 - 9y = -26
  4. Add 35 on both sides:           -9y = 9
  5. Divide -9 on both sides:        y = -1
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Answer:

x= -7

y= -1

Step-by-step explanation:

5x-9y= -26..............(1)

-2x+3y= 11...............(2)

5(-2x+3y= 11)

-10x +15y = 55................(3)

2(5x-9y= -26)

10x-18y= -52.....................(4)

Add equation 3&4

-10x+15y= 55

10-18y= -52

-3y= 3

y= -1

put y= -1 into equation ............(3)

-10x+15y= 55

-10x+15(-1)= 55

-10x-15 = 55

-10x= 55+15

-10x= 70

x= -7

Therefore;

x= - 7 and y= - 1

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