SOLUTION: Please help me solve this equation: {{{3x + 6y = 48}}} {{{-5x + 6y = 32}}}

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Question 284735: Please help me solve this equation:

Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
first equation is 3x + 6y = 48
second equation is -5x + 6y = 32

subtract second equation from first equation to get:

8x = 16

divide both sides of this equation by 8 to get:

x = 2

replace x with 2 in the first equation to get:

6 + 6y = 48

subtract 6 from both sides of this equation to get:

6y = 42

divide both sides of this equation by 6 to get:

y = 7

your answer should be x = 6 and y = 7.

substitute these values in both original equations to get:

first equation is 3x + 6y = 48
second equation is -5x + 6y = 32

3x + 6y becomes 3*2 + 6*7 = 6 + 42 = 48 confirming x and y are good in the first equation.

-5x + 6y = 32 becomes -5*2 + 6*7 becomes -10 + 42 = 32 confirming x and y are good in the second equation.

your answer is:

x = 2 and y = 7