# SOLUTION: solve the system of equations using the addition method 7a+2b=13 8a-3b=-1 solution (?,?)

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 Click here to see ALL problems on Linear-equations Question 207997: solve the system of equations using the addition method 7a+2b=13 8a-3b=-1 solution (?,?)Answer by nerdybill(6959)   (Show Source): You can put this solution on YOUR website!7a+2b=13 8a-3b=-1 . Multiply the first equation by 3 and the second by 2 to get: 21a+6b=39 16a-6b=-2 . Now, add the two equations together: 21a+6b=39 16a-6b=-2 --------- 37a = 37 a = 1 (solution for a) . Substitute the above into the first equation and solve for b: 7a+2b=13 7(1)+2b=13 7+2b=13 2b = 4 b = 2 (solution for b) . So, (a,b) = (1,2)