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3 years ago

Solve the following equation for x: 5x + 3y = 15.

Mathematics

1 answer:

zepelin [54]3 years ago

8 0

Answer:

B) x = (-3/5)y + 3

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

first, subtract 3y from btoh sides:

5x + 3y (-3y) = 15 (-3y)

5x = -3y + 15

Next, divide 5 from both sides:

(5x)/5 = (-3y +15)/5

x = (-3/5)y + 3

B) x = (-3/5)y + 3 is your answer.

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$\quad \huge \quad \quad \boxed{ \tt \:Answer }$

$\qquad \tt \rightarrow \: \{ 0,4 \}$

____________________________________

$\large \tt Solution \: :$

$\qquad \tt \rightarrow \: - {a}^{2} + 4a = 0$

$\qquad \tt \rightarrow \: - ( {a}^{2} - 4a) = 0$

$\qquad \tt \rightarrow \: {a}^{2} - 4a = 0$

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The two cases are :

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We can conclude :

$\qquad \tt \rightarrow \:solution \: (a) = \{ 0,4\}$

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