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3 years ago

Solve 5x − 6y = −38 3x + 4y = 0

Mathematics

1 answer:

Leto [7]3 years ago

7 0

Answer:

x = -76 , y = 57

Step-by-step explanation:

5x - 6y = -38

3x + 4y = 0

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use 4 to multiply equation 1

5x(4) - 6y(4) = - 38(4)

20x -24y = -152

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use 6 to multiply equation 2

3x(6) + 4y(6) = 0(6)

18x + 24y = 0

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20x - 24y = -152

18x + 24y = 0

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

2x = -152

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divide 2 by both sides

x = -76

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to find y, slot in the of x to either equation 1 or 2

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equation 2

3x + 4y = 0

3(-76) + 4y = 0

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-228 + 4y = 0

4y = 228 - 0

4y = 228

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divide both sides by 4

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

y = 57

for this type of question, you can use

substitution method
elimination method
graphical method

i used substitution method

hope it helps

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Step-by-step explanation:

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2 years ago

David found and factored out the GCF of the polynomial 80b4 – 32b2c3 + 48b4c. His work is below. GFC of 80, 32, and 48: 16 GCF o

BlackZzzverrR [31]

Answer: The correct statements are

The GCF of the coefficients is correct.

The variable c is not common to all terms, so a power of c should not have been factored out.

David applied the distributive property.

Step-by-step explanation:

GCF = Greatest common factor

1) GCF of coefficients : (80,32,48)

80 = 2 × 2 × 2 × 2 × 5

32 = 2 × 2 × 2 × 2 × 2

48 = 2 × 2 × 2 × 2 × 3

GCF of coefficients : (80,32,48) is 16.

2) GCF of variables :( $b^4,b^2,b^4$ )

$b^4$ = b × b × b × b

$b^2$ = b × b

$b^4$ =b × b × b × b

GCF of variables :( $b^4,b^2,b^4$ ) is $b^2$

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