11(4-6y)+5(13y+1)=9 help​

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11(4-6y)+5(13y+1)=9 help​

2 Answer

2

Answer:

Y = 40

Step-by-step explanation:

44 - 66y + 65y + 5 = 9

49 - y = 9

-y = -40

y = 40

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Ophelia Stokes MD
15.5k 3 10 26
answered 11 months ago
2

Answer:

y = 40

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

Algebra I

  • Combining Like Terms

Step-by-step explanation:

Step 1: Define

11(4 - 6y) + 5(13y + 1) = 9

Step 2: Solve for y

  1. Distribute:                              44 - 66y + 65y + 5 = 9
  2. Combine like terms:             -y + 49 = 9
  3. Isolate y term:                       -y = -40
  4. Isolate y:                                y = 40

Step 3: Check

Plug in y into the original equation to verify it's a solution.

  1. Substitute in y:                    11(4 - 6(40)) + 5(13(40) + 1) = 9
  2. Multiply:                               11(4 - 240) + 5(520 + 1) = 9
  3. Subtract/Add:                      11(-236) + 5(521) = 9
  4. Multiply:                               -2596 + 2605 = 9
  5. Add:                                     9 = 9

Here we see that 9 does indeed equal 9.

∴ y = 40 is the solution to the equation.

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Ike Stanton
15.5k 3 10 26
answered 11 months ago