SOLUTION: Please help me solve this equation: 1.8x-0.3y=14.4 and x-0.6y=2.8

Question 130860This question is from textbook Algebra 1
: Please help me solve this equation: 1.8x-0.3y=14.4 and x-0.6y=2.8
This question is from textbook Algebra 1

Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
1.8X-.3Y=14.4
-.3Y=-1.8X+14.4
Y=-1.8X/-.3+14.4/-.3
Y=6X-48 (RED LINE)
X-.6Y=2.8
-.6Y=-X+2.8
Y=-X/-.6+2.8/-.6
Y=X/6-1.4/.3 (GREEN LINE)
Y=6X-48 NOW SUBTRACT.
---------------------------------------
0=-6X+X/6+48-1.4/3
0=(-6X*6+X)/6+(3*48-1.4)/3
0=(-36X+X)/6+(144-1.4)/3
0=-35X/6+142.6/3
35X/6=142.6/3
35X*3=6*142.6
105X=855.6
X=855.6/105
X=8.15 ANSWER.
1.8*8.15-.3Y=14.4
14.67-.3Y=14.4
-.3Y=14.4-14.67
-.3Y=.27
Y=-.27/-.3
Y=.9 ANSWER.
ANSWER (8.15,0.9)
(graph 300x300 pixels, x from -6 to 15, y from -50 to 10, of TWO functions 6x -48 and x/6 -1.4/3).
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