Math, asked by aadarsh9958, 9 months ago

5p + 3q = 9 ;2p +3q = 12​

Answers

Answered by Arnav0308
1

Answer:

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Step-by-step explanation:

SOLVE FOR P, Q

5p+3q=9,2p+3q=12

5p+3q=9,2p+3q=12

5p+3q=9,2p+3q=12

5p+3q=9,2p+3q=12

pp

5p+3q=9

5p+3q=9

3q

5p=-3q+9

5p=−3q+9

5

p=\frac{1}{5}\left(-3q+9\right)

p=

5

1

(−3q+9)

\frac{1}{5}=0.2

-3q+9

p=-\frac{3}{5}q+\frac{9}{5}

p=−

5

3

q+

5

9

\frac{-3q+9}{5}

p2p+3q=12

2\left(-\frac{3}{5}q+\frac{9}{5}\right)+3q=12

2(−

5

3

q+

5

9

)+3q=12

2\frac{-3q+9}{5}

-\frac{6}{5}q+\frac{18}{5}+3q=12

5

6

q+

5

18

+3q=12

-\frac{6q}{5}

3q

\frac{9}{5}q+\frac{18}{5}=12

5

9

q+

5

18

=12

\frac{18}{5}=3.6

\frac{9}{5}q=\frac{42}{5}

5

9

q=

5

42

\frac{9}{5}=1.8

q=\frac{14}{3}

q=

3

14

\frac{14}{3}\approx 4.666666667

qp=-\frac{3}{5}q+\frac{9}{5}

p

p=-\frac{3}{5}\times \left(\frac{14}{3}\right)+\frac{9}{5}

p=−

5

3

×(

3

14

)+

5

9

-\frac{3}{5}=-0.6

\frac{14}{3}\approx 4.666666667

p=\frac{-14+9}{5}

p=

5

−14+9

\frac{9}{5}=1.8

-\frac{14}{5}=-2.8

p=-1

p=−1

p=-1,q=\frac{14}{3}

p=−1,q=

3

14

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