Question

Which of the following systems is equivalent to the given system? 2/3x - y = 2

x + 1/2y = -3

A.)2x - 3y = 6 and 2x + y = 6
B.)6x - 3y = 6 and 2x + y = 10
C.)2x - 3y = 6 and 2x + y = -6

Answer 1

Based on the given above, the correct answer would be x-30y=100 and 10y=x-20, the first option.
So how do we know that this is the correct option. So, let us check
0.01x - 0.3y = 1 <<multiply both sides by 100 (since there is 2 decimal places after the decimal point
The result for this would be x - 30y = 100 (So this is correct)
Next,
y = 0.1x -2 << multiply both sides by 10 since there are only 2 decimals places after the decimal point
The result would be 10y = x - 20 (So this is correct)
Hope that answer helps