Question

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Solve each system of equations by using elimination.

9p+8q=2
6p-5q=26


a. p = –0.67, q = 2.65
b. p = 2.34, q = –74
c. p = 2.34, q = –2.39
d. p = –1.9, q = –2.39

Answer 1

multiply the first equation by 5 and the second equation by 8
5(9p+8q=2) 45p+40q=10
8(6p-5q=26) 48p-40q=208

Answer 2

next eliminate the q's and combine like terms
45p+40q=10
48p-40=208
93p=218

Answer 3

now divide 218 by 93 2.3

Answer 4

2.34*

Answer 5

that was p now lets plug p into the first equation

Answer 6

9(2.34)+8q=2
21.06+8q=2

Answer 7

subtract 21.06 to both sides
8q=-19.06 and divide by 8
q=-2.38

Answer 8

understood?
If not go here: http://openstudy.com/study#/updates/53cd6bade4b081ba9638ec9f

Answer 9

@William.deems

Answer 10

Thank you! :)