Question

Enter the y coordinate of the solution 5x 2y=21 and -2x 6y=-34

Answer 1

he given system of equations: 
 


 Multiply the both sides of the first equation by 3. 


 Distribute and multiply. 


 Multiply the both sides of the second equation by 2. 


 Distribute and multiply. 


So we have the new system of equations: 

 


Now add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this: 


 


 Group like terms. 


 Combine like terms. 


 Simplify. 


 Divide both sides by  to isolate . 



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 Now go back to the first equation. 


 Plug in . 


 Multiply. 


 Multiply EVERY term by the LCD  to clear any fractions. 


 Multiply and simplify.