I need help with thisone
solve:
((x)/(5x+10))+ ((x-3)/(x+2)) = (7)/(5)
Let's take that first part:
(x)/(5x+10)
In the denominator, factor out "5" That leaves that part as:
x/(5(x+2))
So now we have:
((x)/5(x+2)) + ((x-3)/(x+2)) = 7/5
We can multiply BOTH sides by 5 to leave the first denominator as simply "x+2"
x/x+2 + 5x-15/x+2 = 7
Now, multiply both sides by "x+2" to get a variable out of the denominator:
x+5x-15 = 7(x+2)
Can you get it from there?
To be honest, I spent forever on this question. I don't know why, but I kept coming up with the same wrong answer. I clicked off it and went back to it and it worked this time.
Would love to know what I did wrong before. :)
Matt
I CAME OUT WITH X= -29
To solve the equation ((x)/(5x+10)) + ((x-3)/(x+2)) = (7)/(5), you correctly multiplied both sides of the equation by 5 to eliminate the denominator in the first term:
(x/(x+2)) + (5x-15/(x+2)) = 7
Next, you multiplied both sides of the equation by (x+2) to eliminate the denominator in the second term:
x + 5x - 15 = 7(x+2)
Now, combine like terms:
6x - 15 = 7x + 14
Subtract 6x from both sides:
-15 = x + 14
Finally, subtract 14 from both sides:
x = -29
So, the solution to the equation is x = -29.
Regarding your previous attempts, it's possible that there was a mistake made in simplifying expressions or rearranging terms, which led to different results. It's always a good idea to double-check your work and review any mistakes to ensure accuracy.