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Mama L [17]
3 years ago
6

5x+2y= −6 slope intercepted form

Mathematics
1 answer:
Strike441 [17]3 years ago
8 0

Answer:

solution given:

5x+2y=-6

as we know that slope intercept form is

y=mx+c

so

making above equation like that

2y=-5x-6

<u>y=-5/2x-3 is a slope intercept form</u>

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The sum result of given expressions is given by: \dfrac{5}{y+5}

<h2>Given that:</h2>
  • To find sum of  \dfrac{3y}{y^2 + 7y + 10} and  \dfrac{2}{y+2}

<h2>Finding LCM and summing:</h2>

You can take LCM and then can add to see whats the sum.

\begin{aligned}\dfrac{3y}{y^2 + 7y + 10} + \dfrac{2}{y+2} &= \dfrac{3y}{(y+2)(y+5)} + \dfrac{2}{y+2}\\&= \dfrac{3y + 2(y+5)}{(y+2)(y+5)}\\&= \dfrac{5y+10}{(y+2)(y+5)}\\&= \dfrac{5(y+2)}{(y+2)(y+5)}\\&= \dfrac{5}{y+5}\\\end{aligned}

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\dfrac{5}{y+5}

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