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37 votes
37 votes
Solve the linear system using elimination

-5x + 3y = 19
-5x + 7y = 11

User Mindaugas Svirskas
by
2.4k points

1 Answer

5 votes
5 votes
-5x + 3y = 19
-5x + 7y = 11

-1(-5x + 3y = 19) ==> 5x - 3y = -19
1(-5x + 7y = 11) ==> -5x - 7y = 11

5x - 3y = -19
-5x - 7y = 11
-10y = -8
/-10 /-10
y = 4/5 = 0.8

-5x + 3y = 19
-5x + 3(0.8) = 19
5x + 2.4 = 19
- 2.4 - 2.4
5x + = 16.6
/5 /5
x = 3.32

-5x + 3y = 19
-5x + 3(4/5) = 19
5(5x + 3(4/5) = 19)
25x + 12 = 95
- 12 - 12
25x = 83
/25 /25
x = 83/25

- Hope that helps!
PS: the x answers are the same thing, one is in fraction, while the other one is in decimal.
User Ritesh Jung Thapa
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2.6k points