SOLUTION: Solve the system of equations by substitution {{{system(2x+3y=13.50,3x+2y=16.50)}}}

Algebra.Com
Question 284546: Solve the system of equations by substitution

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
Solve the system of equations by substitution



Solve the first equation for x




 Divide every term by 2



Substitute  for x in the second equation:





Distribute the 3 into the parentheses:



Combine like terms:



Add -20.25 to both sides:



Divide both sides by 



Substitute  for  in 







Solution: (x,y) = (4.5,1.5)

Edwin


RELATED QUESTIONS

solve the system by substitution 3x-y=50 x= -3y (answered by robertb,mananth)
50.Solve the system by substitution. 3x + 3y = 9 y = 2x – 12 (answered by bucky,chitra,jim_thompson5910)
the problem says solve each system of equations by substitution. -3x+y=-4... (answered by jim_thompson5910)
Solve the system of equations by substitution. 3x + y = 13 2x - 7y = 24 (answered by robertb)
Solve the system of equations by substitution x+6y=23... (answered by MathLover1)
Solve the system of equations by the substitution method x + 3y = 32 -3x + 2y =... (answered by algebrahouse.com)
Solve the system of equations by elimination. 2x+12y=-50 10x+3y=35 please... (answered by mananth)
Solve the system of equations by elimination 2x+12y=50... (answered by Fombitz)
Solve the system of equations using either elimination or substitution 2x-3y+z=13... (answered by Alan3354)