How do you solve this system of equations: #9x + 2y = 50.25; x + 3y = 9.75#?

1 Answer
Jim G.
Feb 1, 2018

#(x,y)to(5.25,1.5)#

Explanation:

#9x+2y=50.25to(1)#

#x+3y=9.75to(2)#

#"from equation "(2)" we can express x in terms of y"#

#rArrx=9.75-3yto(3)#

#"substitute "x=9.75-3y" in equation "(1)#

#9(9.75-3y)+2y=50.25#

#rArr87.75-27y+2y=50.25#

#rArr87.75-25y=50.25#

#"subtract 87.75 from both sides"#

#cancel(87.75)cancel(-87.75)-25y=50.25-87.75#

#rArr-25y=-37.5#

#"divide both sides by "-25#

#(cancel(-25) y)/cancel(-25)=(-37.5)/(-25)#

#rArry=1.5#

#"substitute "y=1.5" into equation "(3)#

#rArrx=9.75-(3xx1.5)=5.25#

#"the point of intersection "=(5.25,1.5)#

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