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slove the following systems by elimination method

label Algebra
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2x-5y=13

5x+3y=17

Apr 26th, 2015

2x-5y=13..............................1

5x+3y=17..............................2

2X-5Y=13

2X=13+5y

X=6.5+2.5y

SUBSTITUTE X IN EQUATION 2

5(6.5+2.5y)+3y=17

32.5+12.5y+3y=17

15.5y=17-32.5

15.5y=-15.5

y= -1


subtitute y in  (1) above

2x-5(-1)=13

2x+5=13

2x=8

x=4


Answers x=4 y= -1

check answers

insert values of x and y in (1)

2(4)-5(-1)=13

8+5=13

13=13


Apr 26th, 2015

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