SOLUTION: Solve each of the following systems by substitution. 5x - 2y= -5 y - 5x = 3 8x - 4y = 16 y = 2x - 4 4x - 12y = 5 -x + 3y= -1

Algebra ->  Algebra  -> Linear-equations -> SOLUTION: Solve each of the following systems by substitution. 5x - 2y= -5 y - 5x = 3 8x - 4y = 16 y = 2x - 4 4x - 12y = 5 -x + 3y= -1       Log On

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 Question 89539: Solve each of the following systems by substitution. 5x - 2y= -5 y - 5x = 3 8x - 4y = 16 y = 2x - 4 4x - 12y = 5 -x + 3y= -1 Answer by checkley75(3666)   (Show Source): You can put this solution on YOUR website!Y-5X=3 OR Y=5X+3 NOW WE SUBSTITUTE (5X+3) FOR Y IN THE OTHER EQUATION & SOLVE FOR X: 5X-2(5X+3)=-5 5X-10X-6=-5 -5X=6-5 -5X=1 X=1/-5 X=-1/5 ANSWER. Y-5*-1/5=3 Y+5/5=3 Y+1=3 Y=3-1 Y=2 ANSWER. PROOF 5*-1/5-2*2=-5 -5/5-4=-5 -1-4=-5 -5=-5 I'LL LEAVE THE REST FOR YOU TO SOLVE USING THE SAME PROCEDURE!