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3 years ago

6v+12b=504 2v+5b=204

Mathematics

1 answer:

ss7ja [257]3 years ago

4 0

Answer:

Step-by-step explanation:

6v + 12b = 504 eq1

2v + 5b = 204 eq2

6v + 15b = 612 eq2 times 3

0 -3b = 504 - 612 subtraction of the two bolded eqs

-3b = -108 solve for b

b = 36

Another way to solve the problem

6v + 12b = 504 I would eliminate the v term by multiplying the bottom

2v + 5b = 204 equation by -3 on BOTH sides and then add the two eqs

2v + 5b = 204

-3(2v + 5b) = -3(204)

-6v - 15b = -612

6v + 12b = 504

-6v - 15b = -612 add the like terms

(6v + (-6v)) + (12b + (-15b) = 504 + (-612)

(6v -6v)) + (12b - 15b) = 504 - 612)

0 + -3b = - 108 solve for b divide both sides by -3

b = -108/-3

b = 36

use eq 2v + 5b = 204 to solve for v and knowing b = 36

2v + 5b = 204 b=36

2v + 5(36) = 204 substract 5 times 36 from both sides

2v = 204 - 180

v = 24 / 2

v = 12

NOW CHECK the values for b and v using the OTHER eq

6v + 12b = 504

6(12) + 12(36) = 504

72 + 432 = 504

504 = 504 IT CHECKS

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