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System of 2 equations

1. Homework Statement

It's a system of 2 equations.

upload_2017-1-16_14-4-4.png

upload_2017-1-16_14-4-10.png


2. Homework Equations


3. The Attempt at a Solution
My attempt is not worth writing here.
Results I got using Microsoft Mathematics without showing me step by step.
upload_2017-1-16_14-5-49.png
 

Math_QED

Science Advisor
Homework Helper
1,201
400
1. Homework Statement

It's a system of 2 equations.

View attachment 111650
View attachment 111651

2. Homework Equations


3. The Attempt at a Solution
My attempt is not worth writing here.
Results I got using Microsoft Mathematics without showing me step by step.
View attachment 111652
Your attempt is worth it! It shows us you made effort to solve the question.

You have that ##y## must be equal to both ##\frac{1}{750} + \frac{8}{x}## and ##\frac{3}{2500} + \frac{12}{x}##

Thus you need to solve for ##x##: ##\frac{1}{750} + \frac{8}{x} = \frac{3}{2500} + \frac{12}{x}## and then substitute your answer for ##x## to obtain the value for ##y##
 

stevendaryl

Staff Emeritus
Science Advisor
Insights Author
8,400
2,572
The most straight-forward way to solve a system of equations (although not always the most efficient way) is:
  • Use the first equation to solve for one variable in terms of the rest
  • In the second equation, replace that variable by its value (found in step 1). This will give you an equation involving one fewer variable.
  • Now, solve for a second variable.
  • Continue for as many equations as you have (which should be the same as the number of variables)
In your case, the first equation already gives you [itex]y[/itex] as a function of [itex]x[/itex]. So just use that value of [itex]y[/itex] in the second equation, and see what you get.
 
Okay, so I did manage to solve it. I was stuck for some time on fractions. Thanks
 

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