SOLUTION: Please find X and Y: 2X+3Y=16, 5X+3Y=44 Please show work (explain process). Thanks

Algebra ->  Linear-equations -> SOLUTION: Please find X and Y: 2X+3Y=16, 5X+3Y=44 Please show work (explain process). Thanks      Log On


   



Question 76504: Please find X and Y: 2X+3Y=16, 5X+3Y=44
Please show work (explain process). Thanks

Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
THESE BASIC RULES WORK FOR ALL EQUATIONS
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2X+3Y=16
5X+3Y=44 NOW IF WE SUBTRACT THE SECOND EQUATION FROM THE FIRST WE CAN ELIMINATE
--------------------- THE 3Y TERM
-3X=-28
X=-28/-3
X=28/3 OR 9 1/3 ANSWER.
NOW SUBSTITUTE 28/3 FOR X & SOLVE FOR Y
2*28/3+3Y=16
56/3+3Y=16
3Y=16-56/3
3Y=(16*3-56)/3
Y=(48-56)/3*1/3
Y=-8/3*1/3
Y=-8/9 ANSWER.