# SOLUTION: solve: A) x=-2y 3x-2y=8 B) 2x-3y=13 3x+y=3 C) 2s-t=4 3s-5t=2 D) x/3-y/6=-1/3 x+y=-3-2x-y

Algebra ->  -> SOLUTION: solve: A) x=-2y 3x-2y=8 B) 2x-3y=13 3x+y=3 C) 2s-t=4 3s-5t=2 D) x/3-y/6=-1/3 x+y=-3-2x-y      Log On

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 Click here to see ALL problems on Linear-systems Question 172830: solve: A) x=-2y 3x-2y=8 B) 2x-3y=13 3x+y=3 C) 2s-t=4 3s-5t=2 D) x/3-y/6=-1/3 x+y=-3-2x-yAnswer by midwood_trail(310)   (Show Source): You can put this solution on YOUR website!I will do (A) only. Follow my steps and do the rest. QUESTION (A) x = -2y.......Equation A 3x - 2y = 8...Equation B Notice how conveniently Equation A already gives us the fact that x = -2y. Replace x in Equation B with -2y to find the value of y. 3(-2y) - 2y = 8 -6y - 2y = 8 -8y = 8 y = 8/-8 y = -1 I just found the value of y to be -1. To find the value of x, replace y in EITHER EQUATION (your choice) with -1 and simplify. I will use Equation A because it is easier to play with. x = -2y...Equation A x = -2(-1) x = 2 The solution for this system of linear equations is the point (2, -1). What does that point really mean anyway? The point (2, -1) is the location on the xy-plane where the two given lines meet or cross each other. Understand?