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x=2y-2
x=y+3
Substitute the second equation into the first
y+3=2y-2
solve for y
y=5
plug into original
x=y+3=5+3=8 or x=2(5)-2=8
Allentown got 8 ft of snow, Georgetown got 5 ft of snow.
Answer:
Allentown(x) got 8 feet of snow and Georgetown(y) got 3 feet of snow
Step-by-step explanation:
Allentown got 2 feet less than twice the amount of snow Georgetown got . Allentown got 3 feet more snow than Georgetown.
Allentown = x and Georgetown=y
To solve this we need to represent this information mathematically;
'Allentown got 2 feet less than twice the amount of snow Georgetown got' can be written mathematically as; x = 2y - 2
and
'Allentown got 3 feet more snow than Georgetown' can be mathematically written as x = y + 3
x= 2y - 2 ----------------------(1)
x = y + 3 --------------------------(2)
Subtract equation (2) from equation (1)
[ x-x=0 2y-y = y -2-3=-5]
0 = y - 5
To get the value of y, add 5 to both-side of the equation
0+ 5 = y-5+5
5=y
y=5
Substitute y=5 into equation (2)
x = y+3
x=5+3
x=8
Therefore Allentown(x) got 8 feet of snow and Georgetown(y) got 3 feet of snow