eqn 1. (1/5)x+y=(6/5)
eqn 2. (1/10)x+(1/3)y=(9/10)
eqn 1. (0.2)x+y=(1.2)
eqn 2. (0.1)x+(0.333)y=(0.9)
1st. multiply eqn 1. by (-1/2)
=
[(1/5)x+y=(6/5)] × (-1/2) = (-0.1)x + (-0.5)y = (-0.6)
(-0.1)x + (-0.5)y = (-0.6)
(0.1)x + (0.3333)y = (0.9)
now add the 2 equations together
and the x term will cancel out leaving...
(-0.1666)y = 0.3
y = 0.3÷(-0.1666) = -1.8
plug y=-1.8 into eqn 1 or eqn 2
0.2 x +(-1.8) = 1.2
x = (1.2+1.8)÷ 0.2 = 15