Solving Systems Using Elimination

**amberkraidich** · February 2nd 2009, 01:12 PM

How do you solve the following system using elimination!

2x-3y=61
2x+y=-7

**princess_21** · February 3rd 2009, 03:52 AM

Originally Posted by amberkraidich

How do you solve the following system using elimination!

2x-3y=61
2x+y=-7

$2x-3y=61$

$2x+y=-7$

subtract the 2nd equation from the 1st equation.

${2x-3y=61}$
$\frac{-2x-y=7}{-4y=68}$

$y=-17$

then substitute

$2x-3(-17)=61$

$2x+51=61$

$2x=10$

$x=5$

then check:

$2x-3y=61$

$2(5) - 3(-17) = 61$

$61= 61$

$2x+y=-7$

$2(5) + (-17) = -7$

$-7=-7$

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