y=1/2x + 3/4
6x+8y=10
Only looking for X
Step's in what i did
1.~6x+8(1/2x + 3/4)=10
2.6x+ 8/2x + 24/4 =10
3.(2)(6x+ 8/2x + 24/4 =10)(2)
4.12x+8x+ 24/4=20
5.20x+6=20
6. 20x=14
7. x= 14/20
I don't know what i did wrong. Please help me and if you don't understand the problem I will show a link so you can understand better.
~Thanks for reading this!
You muddled up your Step #3 you did not have to times (2) in front. To clarify here is what I did:
6x + 8(1/2x + 3/4) = 10
6x + 8/2x + 24/4 = 10
6x + 4x + 6 = 10
10x = 4
x = 2/5
I can help you identify the mistake in solving the equation. Let's go through the steps one by one.
1. ~6x+8(1/2x + 3/4) = 10
In this step, you correctly distributed the 8 to both terms inside the parentheses.
2. 6x + 8/2x + 24/4 = 10
Here is where the mistake occurs. You divided 8 by 2, which gives you 4, but you mistakenly divided x by 2 as well. The correct equation should be:
6x + 4x + 24/4 = 10
3. (2)(6x + 4x + 24/4 = 10)(2)
Multiplying both sides of the equation by 2 is unnecessary at this point. We can simplify the equation further without doing this step.
4. 12x + 4x + 24/4 = 20
In this step, you correctly combined the x terms.
5. 16x + 24/4 = 20
Here is another mistake. You incorrectly simplified the equation on the left-hand side. Adding 12 and 4 do not give you 20, it gives you 16. The equation should be:
16x + 24/4 = 10
6. 16x + 6 = 20
Here, when you subtracted 6 from both sides, you made another mistake. The equation should be:
16x + 6 = 10
7. 16x = 4
Finally, you divided both sides by 20, which is correct:
x = 4/16
Simplifying further, we get x = 1/4.
So, the correct solution to the equation is x = 1/4. You made mistakes in steps 2, 5, and 6.