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### sagemath cloud is not solving simultaneous equations

Here's my code:

 x1, y1, x2, y2 = var('x1 y1 x2 y2')

 eq1 = (x1-1)(x1-2) + (y1-3)(y1-4) == 0 eq2 = (x2-1)(x2-2) + (y2-3)(y2-4) == 0 eq3 = x1+x2 == 3 eq4 = y1+y2 == 7 sols = solve([eq1,eq2,eq3,eq4],x1,y1,x2,y2,solution_dict=True)

for soln in sols: for varbl in soln: print "{0} : {1},".format(varbl, soln[varbl]) 

And here's my output:

x1 + x2 : 3,

(x1 - 1)(x1 - 2) + (y1 - 3)(y1 - 4) : 0,

(x2 - 1)(x2 - 2) + (y2 - 3)(y2 - 4) : 0,

y1 + y2 : 7,

I'm looking for any solutions, exact or numerical approximation. Appreciate any help. I can solve the problem by hand, but obviously that's not the point here. I'm trying to find out what I'm doing wrong and learn to use sagemath cloud properly.

 2 No.2 Revision tmonteil 27253 ●31 ●199 ●512 http://wiki.sagemath.o...

### sagemath cloud is not solving simultaneous equations

Here's my code:

 x1, y1, x2, y2 = var('x1 y1 x2 y2')

 eq1 = (x1-1)(x1-2) + (y1-3)(y1-4) == 0 eq2 = (x2-1)(x2-2) + (y2-3)(y2-4) == 0 eq3 = x1+x2 == 3 eq4 = y1+y2 == 7 sols = solve([eq1,eq2,eq3,eq4],x1,y1,x2,y2,solution_dict=True)

for soln in sols: for varbl in soln: print "{0} : {1},".format(varbl, soln[varbl]) 

And here's my output:

x1 + x2 : 3,

(x1 - 1)(x1 - 2) + (y1 - 3)(y1 - 4) : 0,

(x2 - 1)(x2 - 2) + (y2 - 3)(y2 - 4) : 0,

y1 + y2 : 7,

I'm looking for any solutions, exact or numerical approximation. Appreciate any help. I can solve the problem by hand, but obviously that's not the point here. I'm trying to find out what I'm doing wrong and learn to use sagemath cloud properly.

 3 No.3 Revision tmonteil 27253 ●31 ●199 ●512 http://wiki.sagemath.o...

### solving simultaneous equations

Here's my code:

 x1, y1, x2, y2 = var('x1 y1 x2 y2') y2')
eq1 = (x1-1)(x1-2) (x1-1)*(x1-2) + (y1-3)(y1-4) (y1-3)*(y1-4) == 0 0
eq2 = (x2-1)(x2-2) (x2-1)*(x2-2) + (y2-3)(y2-4) (y2-3)*(y2-4) == 0 0
eq3 = x1+x2 == 3 3
eq4 = y1+y2 == 7 7
sols = solve([eq1,eq2,eq3,eq4],x1,y1,x2,y2,solution_dict=True) solve([eq1,eq2,eq3,eq4],x1,y1,x2,y2,solution_dict=True)
for soln in sols:
for varbl in soln:
print "{0} : {1},".format(varbl, soln[varbl])


And here's my output:

x1 + x2 : 3, 3,
(x1 - 1)(x1 1)*(x1 - 2) + (y1 - 3)(y1 3)*(y1 - 4) : 0, 0,
(x2 - 1)(x2 1)*(x2 - 2) + (y2 - 3)(y2 3)*(y2 - 4) : 0, 0,
y1 + y2 : 7,7,


I'm looking for any solutions, exact or numerical approximation. Appreciate any help. I can solve the problem by hand, but obviously that's not the point here. I'm trying to find out what I'm doing wrong and learn to use sagemath cloud properly.