How do you solve the system 7x-3y=19 7x−3y=19, 5x+2y=-115x+2y=−11?

1 Answer
Shwetank Mauria
Apr 17, 2016

x=5/29x=529 and y=-5 27/29y=−52729

Explanation:

The two equations are

7x-3y=197x−3y=19 ............(A) and

5x+2y=-115x+2y=−11 ...........(B)

Now multiplying (A) by 22 and (B) by 33, we get

14x-6y=3814x−6y=38 ............(C) and

15x+6y=-3315x+6y=−33 ...........(D)

Adding (c) and (D), we get

29x=529x=5 or x=5/29x=529. Now putting this in (B)

(5xx5)/29+2y=-115×529+2y=−11 or 25/29+2y=-112529+2y=−11 or

2y=-25/29-11=-25/29-(11xx29)/29=(-25-319)/29=-344/292y=−2529−11=−2529−11×2929=−25−31929=−34429

y=-344/29xx1/2=-172/29==(5XX29+27)/29=-5 27/29y=−34429×12=−17229==5XX29+2729=−52729

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