SOLUTION: solve the given systems equations by using an appropriate algebraic method 3x-6y=5 and 7x+2y=4

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Question 670382: solve the given systems equations by using an appropriate algebraic method 3x-6y=5 and 7x+2y=4
Answer by VirtualMathTutor(26) About Me  (Show Source):
You can put this solution on YOUR website!
3x - 6y = 5 : equation 1

7x + 2y = 4 : equation 2

Multiply equation 2 by 3 to get

21x + 6y = 12 then add to equation 1
3x - 6y = 5
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24x = 17

x = 17%2F24

Now we can substitute x = 17%2F24 into any of the equations to solve for y. Let's use equation 1
3(17%2F24) - 6y = 5
17%2F8 - 6y = 5
-6y = 5 - 17%2F8
-6y = 23%2F8
divide both sides by -6 to get:
y = -23%2F48