Algebraically, that will be expressed as:
The first given equation is:
4x + 3y = 6
which can be rewritten as:
2(2x) + 3y = 6 .............> equation I
The second given equation is:
2x + 2y = 5
which can be rewritten as:
2x = 5 - 2y ........> equation II
Substitute with equation II in equation I to get the value of y as follows:
2(5-2y) + 3y = 6
10 - 4y + 3y = 6
-y = 6-10 = -4
y = 4
Substitute with the y in equation II to get x as follows:
2x = 5 - 2y
2x = 5 - 2(4)
2x = 5 - 8 = -3
x = -3/2
From the above calculations:
x = -3/2
y = 4
Answer:
56740.15908m³
Approximately to the nearest whole number, the volume of 46 acre-ft of reservoir = 56740m³
Step-by-step explanation:
1 meter = 3.28084ft
1 acre = 43,560 ft²
Therefore, using our unit conversion, the volume in S.I units of a reservoir containing 46 acre- ft of water is calculated as :
46 acre - ft × (1 meter/3.28084ft) × (43,560ft²/1 acre) × (1 meter/3.28084ft)²
= 2003760/35.314670112
= 56740.15908m³
Approximately to the nearest whole number, the volume of 46 acre-ft of reservoir = 56740m³
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