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3 years ago

Which ordered pair is the solution set for the system of equations below? 2x + y = 18 x – y = –6

Mathematics

1 answer:

qaws [65]3 years ago

7 0

Answer:

(4,10) is the solution

Step-by-step explanation:

2x + y = 18

x – y = –6

Using elimination

2x + y = 18

x – y = –6

----------------------

3x = 12

Dividing each side by 3

3x/3 = 12/3

x =4

Now we can find y

2x+y = 18

2(4) +y =18

8+y = 18

Subtracting 8 from each side

8-8+y = 18-8

y=10

(4,10) is the solution

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FromTheMoon [43]

Answer:

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Step-by-step explanation:

The standard charge includes an initial fee and plus an addditional fee for each mile driven and is given by:

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3 years ago

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4 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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3 years ago

Read 2 more answers

1. Match the polynomial identity to the correct answer.

Katen [24]

Answer:

$a: (a-b)(a+b);b: (a-b)(a^{2}+ab+b^{2}); c: (a^{2} +2ab+b^{2}); d: (a+b)(a^{2}- ab+b^{2})$

Step-by-step explanation:

Given the expressions all that is required is to expand them (using the distributive property) to see which answers they match up to:

For a: $(a-b)(a+b)=a^{2} +ab-ab-b^{2} =a^{2}-b^2$

For b: $(a-b)(a^2+ab+b^2)=a^3+a^2b+ab^2-a^2b-ab^2-b^3=a^3-b^3$

For c calculate the square of a sum: $(a+b)^2=a^2+ab+ab+b^2$

(add like terms) c: $a^2+2ab+b^2$

For d: $(a+b)(a^2-ab+b^2)=a^3-a^2b+ab^2+a^2b-ab^2+b^3$ $=a^3+b^3$

5 0

4 years ago