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Rzqust [24]
3 years ago
11

Solve the simultaneous equations 2p- 3q= 43p + 2q= 9​

Mathematics
1 answer:
Rzqust [24]3 years ago
8 0

Answer:

q = 6/13, p = 35/13

Step-by-step explanation:

3p + 2q = 9

2p - 3q = 4

_________ (subtract the two equation from each other.)

p + 5q = 5

p = 5 - 5q

2(5 - 5q) - 3q = 4 (substitute value of p into equation)

10 - 10q - 3q = 4

10 - 13q = 4

-13q = -6

<u>q = 6/13</u>

3p + 2(6/13) = 9 (substitute value of q into equation)

3p + 12/13 = 9

3p = 105/13

<u>p = 35/13</u>

<u />

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