Drag the system of equation to the point that represents the solution to the system.Show your work please! Thanks!
Accepted Solution
A:
solving of the system equation: 2x-y=-13 ⇒(1) and y=x+9 ⇒(2) by substituting from (2) at (1) 2x-(x+9)=-13 2x-x-9=-13 x=-4 ⇒ substituting at (2) ∴ y = -4+9 = 5 The point that represents the solution to the system = (-4,5) ========================================================
solving of the system equation: 3x+2y=10 ⇒(1) and 6x-y=10 ⇒(2) by multiplying equation (2) ⇒ 12x-2y=20 ⇒(3) adding (1) and (3) 15 x = 30 ⇒ x=2 from equation (2) 6x-y =10 ⇒⇒⇒ y = 6x-10 =12-10=2 The point that represents the solution to the system = (2,2) =======================================================
solving of the system equation: 4x-3y=5 ⇒(1) and 3x+2y=-9 ⇒(2) solve for x, y we find x=-1 and y=-3
The point that represents the solution to the system = (-1,-3) ======================================================= solving of the system equation: x+y=7 ⇒(1) and x-y=-1 ⇒(2) adding (1) and (2) 2x=6 ⇒⇒⇒ x = 3 substitute at (1) y =7-x=7-3=4 The point that represents the solution to the system = (3,4) ======================================================= solving of the system equation: y=3x-7 ⇒(1) and y=2x-5 ⇒(2) equating (1) and (2) solve for x and y we find x=2 ⇒⇒⇒ y = -1 The point that represents the solution to the system = (2,-1) =======================================================
The system equation : y = 6 and x =-5 The point that represents the solution to the system = (-5,6) ======================================================= The attached figure represent a conclusion for the answer