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3 years ago

7

You purchase 5 pounds of apples and 2 pounds of oranges for $9.your friend purchases 5 pounds of apples and 6 pounds of oranges

for $17

1 answer:

sesenic [268]3 years ago

8 0

Apple is a dollar per pound, and orange is 2 dollar per pound.
5a+2o=9
- 5a+6o=17
-4o=-8
-4o/-4=-8/-4
O=2

5a+2(2)=9
5a+4=9
-4 -4
5a=5
5a/5=5/5
A=1

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(-1, -2)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

<u>Algebra I</u>

Solving systems of equations using substitution/elimination
Solving systems of equations by graphing

Step-by-step explanation:

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

-2x + y = 0

5x + 3y = -11

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

-2x + y = 0

Add 2x on both sides: y = 2x

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

y = 2x

5x + 3y = -11

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

<em>Substitution</em>

Substitute in <em>y</em>: 5x + 3(2x) = -11
Multiply: 5x + 6x = -11
Combine like terms: 11x = -11
Isolate <em>x</em>: x = -1

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

Define equation: y = 2x
Substitute in <em>x</em>: y = 2(-1)
Multiply: y = -2

<u>Step 6: Graph Systems</u>

<em>Check the solution set.</em>

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