Answer: (x-2) = (x+11)
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3 4
Step-by-step explanation:
First part is x-2 divided by on third. So the x-2 acts a the 1 so you put x-2 over 3. And you get:
(x-2)
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3
For the other side of the equation it is x +11 divide by 1/4. So the x+11 will act a the 1 in the fraction. And you will get:
(x+11)
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4
For this case we have the following expression:
[tex]\frac {1} {3} (x-2) = \frac {1} {4} (x + 11)[/tex]
So, we have two equations of the form:[tex]y = \frac {1} {3} (x-2)\\y = \frac {1} {4} (x + 11)[/tex]
Rewriting equation 1:
[tex]y = \frac {1} {3} (x-2)\\3y = x-2\\3y-x = -2[/tex]
If we multiply by 3 on both sides of the equation we have:
[tex]9y-3x = -6[/tex]
Rewriting equation 2:
[tex]y = \frac {1} {4} (x + 11)\\4y = x + 11\\4y-x = 11[/tex]
If we multiply by 4 on both sides of the equation:
[tex]16y-4x = 44[/tex]
Answer:
[tex]9y-3x = -6\\16y-4x = 44[/tex]
