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photoshop1234 [79]
3 years ago
10

1/2x+1/3y=2

Mathematics
1 answer:
timofeeve [1]3 years ago
4 0

Answer:

x=2

y=3

Step-by-step explanation:

x/2+y/3=2   so      

3x/6+2y/6=12/6

then multiply by 6

<em>3x+2y=12</em>    

equation number 2

x/3+y/2=13/6

2x/6+3y/6=13/6

multiply by 6

<em>2x+3y=13</em>

so the system is now

<em>3x+2y=12</em>  

<em>2x+3y=13</em>

<em>from the first equation 2y=12-3x,  y=6 -  3x/2</em>

<em>then put  y in  the second equation</em>

<em>2x+3*(6-3x/2)=13</em>

<em>2x+18-9x/2=13</em>

<em>2x-9x/2=13-18</em>

<em>4x/2-9x/2=-5</em>

<em>-5x/2=-5</em>

<em>*(-1/5)    *(-1/5)</em>

<em>x/2=1</em>

<em>*2    *2</em>

<em>x=2</em>

<em>so y=6-3*2/2=6-3</em>

<em>y=3</em>

<em></em>

<em></em>

<em></em>

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<u>Step-by-step explanation:</u>

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