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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

Question

I will award you! :)

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

now divide 218 by 93 2.3

anonymous · Answer

2.34*

anonymous · Answer

that was p now lets plug p into the first equation

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

Thank you so much! :)