Answer:
u = 12, v= 15
Step-by-step explanation:
Given the system of simultaneous equation:
1/6 u− 1/3 v=−3... (1)
0.2u+0.1v=3.9...(2)
Rewriting both equation as fraction
1/6 u− 1/3 v=−3
1/5 u + 1/10 v = 39/10
Multiplying equation (1) by 6 and (2) by 10 we have:
u - 2v = -18... (3)
2u + v = 39...(4)
Using elimination method, we will first multiply equation (3) by 2 and (2) by 1 to have:
2u-4v = -36 ...(5)
2u+v = 39...(6)
Subtracting (5) from (6);
-4v-v = -36-39
-5v = -75
v = -75/-5
v = 15
Substituting v = 15 into equation (3) to get u we have:
u - 2(15) = -18
u - 30 = -18
u = -18+30
u = 12
The solution to the system of simultaneous equation are u = 12 and v = 15
