Ashleymackenzie2015 Ashleymackenzie2015

04-01-2016
Mathematics

Answered

How many solutions are there to the following system of equations?

5x 3y=7

2x-y=2

Verified Answer :

Billymkhoi Billymkhoi

04-01-2016

5x + 3y = 7 (1)
2x - y = 2 (2)

Multiply (2) by 3:
6x - 3y = 6 (3)

Take (1) + (3):
(5x + 6x) + (3y-3y) = 7+6
⇒ 11x = 13
⇒ (11/11)x= 13/11
⇒ x = 13/11.

y = 213/11 -2= 4/11

The final answer is x=13/11, y=4/11.

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