# System of 2 equations

Tags:
1. Jan 16, 2017

### akaliuseheal

1. The problem statement, all variables and given/known data

It's a system of 2 equations.

2. Relevant 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.

2. Jan 16, 2017

### Math_QED

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 $y$

3. Jan 16, 2017

### stevendaryl

Staff Emeritus
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 $y$ as a function of $x$. So just use that value of $y$ in the second equation, and see what you get.

4. Jan 16, 2017

### akaliuseheal

Okay, so I did manage to solve it. I was stuck for some time on fractions. Thanks