5y+14+y = 3y-7
5y+y-3y = -7-14
3y = -21
y = -7
y = 14
2x + 5y = 16 -2x - 3y = -14 2y = 2 y = 1 / x = 5.5 (5.5,1) or (5 1/2,1)
(-5, 2)
The Commutative Property of Addition.
15y+14=2(5y+6) 15y+14=10y+12 15y+14-14=10y+12-14 15y=10y-2 15y-10y=10y-2-10y 5y=-2 y=-2/5
(6, -4)
y = 14
5y+8 = 7y-6 5y-7y = -6-8 -2y = -14 y = 7
2x + 5y = 16 -2x - 3y = -14 2y = 2 y = 1 / x = 5.5 (5.5,1) or (5 1/2,1)
x = 6, y = -4
Simultaneous Equations. 4x + 5y = 51 4x - 5y = 21 eliminate 'y' by addition. Hence 8x = 72 x = 72/8 x = 9 When x = 9 Substitute into eith equation. 4(9) + 5y = 51 36 + 5y = 51 5y = 51 - 36 5y = 15 y = 3 Hence the answer is ( x,y) = ( 9,3).
(-5, 2)
The Commutative Property of Addition.
15y+14=2(5y+6) 15y+14=10y+12 15y+14-14=10y+12-14 15y=10y-2 15y-10y=10y-2-10y 5y=-2 y=-2/5
x=(-5y-1)/3
5y + 7 = 25y = -5y = -1
no