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Solve the system, or show that it has no solution. (If there is no solution, enter NO SOLUTION. If there are an infinite number of solutions, enter the general solution in terms of x, where x is any real number.)

 

2/3x+1/4y=3

-1/3x-5/4y=3

 Dec 9, 2019
 #1
avatar+106519 
+1

 

2/3x+1/4y=3

-1/3x-5/4y=3

 

Multiply  both sides of each equation by 12  to  clear the fractions

 

8x  +  3y    =    36

-4x - 15y  =      36     

 

Multiply the second equation by 2

 

8x  +  3y    =  36

-8x  - 30y  =   72             add these equations

 

-27y  =  108         divide both sides by   -27

y  =  -4

 

And using  8x + 3y  =  36

8x + 3(-4)  = 36

8x  - 12  =  36   add 12 to both sides

8x  =  48      divide both sides by 8

x  =  6

 

cool cool cool

 Dec 9, 2019

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