Asked by Aga Brown
1). Solve the following simultaneous equations.
a) 3/x + 5/y = 4, 9/x + 4/y = 5
b) 3x +y - 1/2 = 2x -1/3 = 5x - 2y + 1/5
a) 3/x + 5/y = 4, 9/x + 4/y = 5
b) 3x +y - 1/2 = 2x -1/3 = 5x - 2y + 1/5
Answers
Answered by
Steve
It'd be nice to have some of your work to look at, eh?
3/x + 5/y = 4
9/x + 4/y = 5
It gets messy to try and solve for x or y, so solve for 1/x instead.
1/y = (4-3/x)/5
thus,
9/x + 4/5 (4-3/x) = 5
45/x + 16 - 12/x = 25
33/x = 9
1/x = 9/33 = 3/11
so, x = 11/3
now plug in to find y.
The second problem looks like you'll have to solve two equations:
3x +y - 1/2 = 2x -1/3
5x - 2y + 1/5 = 2x -1/3
best to clear the fractions first, then just solve the usual ways.
3/x + 5/y = 4
9/x + 4/y = 5
It gets messy to try and solve for x or y, so solve for 1/x instead.
1/y = (4-3/x)/5
thus,
9/x + 4/5 (4-3/x) = 5
45/x + 16 - 12/x = 25
33/x = 9
1/x = 9/33 = 3/11
so, x = 11/3
now plug in to find y.
The second problem looks like you'll have to solve two equations:
3x +y - 1/2 = 2x -1/3
5x - 2y + 1/5 = 2x -1/3
best to clear the fractions first, then just solve the usual ways.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.