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Veronika [31]
3 years ago
9

Solve each system of equation by elimination {y=-x+1 {y= 4x-14

Mathematics
1 answer:
larisa86 [58]3 years ago
3 0

Answer:

(3, -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

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

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

y = -x + 1

y = 4x - 14

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

y = 4x - 14

  1. Multiply everything by -1:                    -y = -4x + 14

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

y = -x + 1

-y = -4x + 14

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

<em>Elimination</em>

  1. Combine equations:                    0 = -5x + 15
  2. Isolate <em>x</em> term:                               -15 = -5x
  3. Isolate <em>x</em>:                                       3 = x
  4. Rewrite:                                        x = 3

<u>Step 5: Check</u>

  1. Define equation:                    y = -x + 1
  2. Substitute in <em>x</em>:                       y = -3 + 1
  3. Add:                                        y = -2
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Answer:

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3 years ago
a concession stand is selling hot dogs and hamburgers during a game. at halftime they sold a total of 78 hot dogs and hamburgers
lara31 [8.8K]
Let x=number of hamburgers sold and y=number of hot dogs sold.
Step 1)
cost of burgers X # of burgers + cost of hotdogs X # of hotdogs=$ collected               1.5x + 1.25y=105.5

step 2)
# of burgers sold + number of hot dogs sold = total number of items sold
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step 3)  solve for y in the second equation
     y = 78 - x

step 4)  substitute y = 78 - x in the first equation for the value of y and solve for x
     1.5x + 1.25(78 - x)=105.50
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step 5)  plug in our value for x in the second equation and solve for y
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answer       32 hamburgers and 46 hot dogs
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lapo4ka [179]
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3 years ago
Read 2 more answers
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