Which of the systems below is equivalent to the given system?

0.01x - 0.05y = 0.1
0.4x + 0.3y = 0.9

1. 10x - 5y = 10 and 4x + 3y = 9
2. x - 5y = 10 and 4x + 3y = 9
3. x - 5y = 1 and 4x + 3y = 9

Question

Which of the systems below is equivalent to the given system?

0.01x - 0.05y = 0.1
0.4x + 0.3y = 0.9

1. 10x - 5y = 10 and 4x + 3y = 9
2. x - 5y = 10 and 4x + 3y = 9
3. x - 5y = 1 and 4x + 3y = 9

Mercury · Answer

you can multiply each equation by some real #, you will produce an equivalent system (this is based on the multiplicative property of equality). (the # being multiplied doesn't have to be the same between the two equations)

as a major hint, try multiplying the first equation by 100 and the second equation by 10