SOLUTION: Hello, I'm needing assistance with the following Algebra 2 problems for Solving Using Elimination: 1) 2x - 3y= -11 3x + 2y= 29 2) 2x + 6y= 0 -2x - 5y= 0

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hello, I'm needing assistance with the following Algebra 2 problems for Solving Using Elimination: 1) 2x - 3y= -11 3x + 2y= 29 2) 2x + 6y= 0 -2x - 5y= 0       Log On


   

Question 1125253: Hello, I'm needing assistance with the following Algebra 2 problems for Solving Using Elimination:
1) 2x - 3y= -11
3x + 2y= 29

2) 2x + 6y= 0
-2x - 5y= 0
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
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#1
2x - 3y= -11
3x + 2y= 29
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system%282%282x-3y%29=2%28-11%29%2C3%283x%2B2y%29=3%2A29%29

system%284x-6y=-22%2C9x%2B6y=87%29

ADD corresponding members.
13x=65

x=5

To do the similar process for eliminating x, multiply E1 by 3; and multiply E2 by 2. Decide if you need to add, or to subtract corresponding members...
system%283%282x-3y%29=3%28-11%29%2C2%283x%2B2y%29=2%2829%29%29

system%286x-9y=-33%2C6x%2B4y=58%29

%286x%2B4y%29-%286x-9y%29=58-%28-33%29

13y=91

y=91%2F13

y=7

-
SOLUTION for #1: (5, 7).


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#2
2x + 6y= 0
-2x - 5y= 0
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#2 is too obvious. Also, you know the result will be (0,0).