Question

Allentown got 2 feet less than twice the amount of snow Georgetown got . Allentown got 3 feet more snow than Georgetown. How many feet of snow dis Allentown(x) and Georgetown (y) each get

Answer 1

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

Answer 2

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.