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2 years ago

Solve 3x-18=2y and 5x-6y=14 by elimination or substitution . SHOW ALL WORK!!!

Mathematics

1 answer:

Nataly_w [17]2 years ago

5 0

Answer:

3x - 18 = 2y

5x - 6y = 14

5x - 3*(2y) = 14

5x - 3*(3x - 18) = 14

5x - 9x + 54 = 14

-4x = -40

x = 10

3*10 - 18 = 2y

30 - 18 = 2y

12 = 2y

y = 6

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Solve (2/3)-(1/x)=5/6

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12x - 18 = 15x Subtract 12x from both sides
-18 = 3x Divide both sides by 3
-6 = x Switch the sides to make it easier to read
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Check your answer by plugging -6 in for the x in the original problem:

$\frac{2}{3} - \frac{1}{x} = \frac{5}{6}$ Plug in -6 for x
$\frac{2}{3} - \frac{1}{-6} = \frac{5}{6}$ Change $\frac{2}{3}$ to $\frac{4}{6}$ so all denominators are the same
$\frac{4}{6} - \frac{1}{-6} = \frac{5}{6}$ Change $\frac{1}{-6}$ to $\frac{-1}{6}$ for easier work
$\frac{4}{6} - \frac{-1}{6} = \frac{5}{6}$ Subtract the numerators (4 - (-1) )
$\frac{5}{6}$ = $\frac{5}{6}$

So, x = -6 .

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