SOLUTION: 3(x+8)=6(y+4) 17y -37 = 3x +7

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Question 1084946: 3(x+8)=6(y+4)
17y -37 = 3x +7
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

3%28x%2B8%29=6%28y%2B4%29......eq.1-> multiply
17y+-37+=+3x+%2B7......eq.2...swap sides
-------------------------------------
3x%2B24=6y%2B24......eq.1
3x+%2B7=+17y+-37+......eq.2
-------------------------------------subtract eq.2 from eq1
3x%2B24-%283x+%2B7%29=6y%2B24-%2817y+-37%29
3x%2B24-3x+-7=6y%2B24-17y+%2B37
17=61-11y+
11y=61-17++
11y=44++
y=44%2F11++
y=4++


now, find x
3x%2B24=6y%2B24......eq.1
3x=6%2A4%2B24-24
3x=24
x=8


Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

3(x+8)=6(y+4)
17y -37 = 3x +7
3(x + 8) = 6(y  + 4)_____x + 8 = 2(y + 4)_____x + 8 = 2y + 8_____x = 2y ------- eq (i)

17y - 37 = 3x + 7_____3x - 17y = - 44 ------- eq (ii)

3(2y) - 17y = - 44 ------ Substituting 2y for x in eq (ii)

6y - 17y = - 44

- 11y = - 44

highlight_green%28matrix%281%2C5%2C+y%2C+%22=%22%2C+%28-+44%29%2F%28-+11%29%2C+or%2C+4%29%29

x = 2(4) ----- Substituting 4 for y in eq (i)

highlight_green%28matrix%281%2C3%2C+x%2C+%22=%22%2C+8%29%29