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4-Digit Rounding Arithmetic:System of Equations

I am given this system of equations:

1.130x - 6.990y = 14.20 1.013x - 6.099y = 14.22

In sage I input sage: y = var("y") sage: solve ([1.130x + 6.990y == 14.20, ... etc ], x,y ) it spits out 4264/63, 1684/189 With (x,y) I now input sage: round((4264.0/63.0), 4) --> for x and same thing for y, using 1684.0 / 189.0. Giving me 8.9101, yet this answer seems to be wrong. My question is where can I found out how to do 4 digit rounding arithmetic using sage? or Am I doing something wrong with the code.

4-Digit Rounding Arithmetic:System of Equations

I am given this system of equations:

1.130x - 6.990y = 14.20 1.013x - 6.099y = 14.22

In sage I input sage: y = var("y") sage: solve ([1.130x + 6.990y == 14.20, ... etc ], x,y ) it spits out 4264/63, 1684/189 With (x,y) for x,y I now input sage: round((4264.0/63.0), 4) --> for x and same thing for y, using 1684.0 / 189.0. Giving me 8.9101, yet this answer seems to be wrong. My question is where can I found out how to do 4 digit rounding arithmetic using sage? or Am I doing something wrong with the code.

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4-Digit Rounding Arithmetic:System of Equations

I am given this system of equations:

1.130x - 6.990y = 14.20 1.013x - 6.099y = 14.22

In sage I input sage: y = var("y") sage: solve ([1.130x + 6.990y == 14.20, ... etc ], x,y ) it spits out 4264/63, 1684/189 for x,y I now input sage: round((4264.0/63.0), 4) --> for x and same thing for y, using 1684.0 / 189.0. Giving me 8.9101, yet this answer seems to be wrong. My question is where can I found out how to do 4 digit rounding arithmetic using sage? or Am I doing something wrong with the code.

click to hide/show revision 4
retagged

4-Digit Rounding Arithmetic:System of Equations

I am given this system of equations:

1.130x - 6.990y = 14.20 1.013x - 6.099y = 14.22

In sage I input sage: y = var("y") sage: solve ([1.130x + 6.990y == 14.20, ... etc ], x,y ) it spits out 4264/63, 1684/189 for x,y I now input sage: round((4264.0/63.0), 4) --> for x and same thing for y, using 1684.0 / 189.0. Giving me 8.9101, yet this answer seems to be wrong. My question is where can I found out how to do 4 digit rounding arithmetic using sage? or Am I doing something wrong with the code.